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100881396 = 223372111733
BaseRepresentation
bin1100000001101…
…01001111110100
321000211022021000
412000311033310
5201311201041
614002123300
72333322600
oct600651764
9230738230
10100881396
1151a43760
1229950530
1317b91a45
14d580500
158ccabb6
hex60353f4

100881396 has 144 divisors (see below), whose sum is σ = 332095680. Its totient is φ = 26187840.

The previous prime is 100881371. The next prime is 100881413. The reversal of 100881396 is 693188001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 100881396.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57346 + ... + 59078.

It is an arithmetic number, because the mean of its divisors is an integer number (2306220).

Almost surely, 2100881396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100881396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166047840).

100881396 is an abundant number, since it is smaller than the sum of its proper divisors (231214284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100881396 is a wasteful number, since it uses less digits than its factorization.

100881396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 100881396 is about 10043.9731182436. The cubic root of 100881396 is about 465.5185889650.

The spelling of 100881396 in words is "one hundred million, eight hundred eighty-one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 49 54 63 66 77 84 98 99 108 126 132 147 154 189 196 198 231 252 294 297 308 378 396 441 462 539 588 594 693 756 882 924 1078 1188 1323 1386 1617 1733 1764 2079 2156 2646 2772 3234 3466 4158 4851 5199 5292 6468 6932 8316 9702 10398 12131 14553 15597 19063 19404 20796 24262 29106 31194 36393 38126 46791 48524 57189 58212 62388 72786 76252 84917 93582 109179 114378 133441 145572 169834 171567 187164 218358 228756 254751 266882 327537 339668 343134 400323 436716 509502 514701 533764 655074 686268 764253 800646 934087 1019004 1029402 1200969 1310148 1528506 1601292 1868174 2058804 2292759 2401938 2802261 3057012 3602907 3736348 4585518 4803876 5604522 7205814 8406783 9171036 11209044 14411628 16813566 25220349 33627132 50440698 100881396