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107900364 = 2231113227277
BaseRepresentation
bin1100110111001…
…10110111001100
321112000220110210
412123212313030
5210110302424
614412402420
72450065215
oct633466714
9245026423
10107900364
11559a8160
1230176410
131947b790
141048a40c
159715729
hex66e6dcc

107900364 has 96 divisors (see below), whose sum is σ = 298158336. Its totient is φ = 29940480.

The previous prime is 107900363. The next prime is 107900371. The reversal of 107900364 is 463009701.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (107900363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389394 + ... + 389670.

It is an arithmetic number, because the mean of its divisors is an integer number (3105816).

Almost surely, 2107900364 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 107900364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149079168).

107900364 is an abundant number, since it is smaller than the sum of its proper divisors (190257972).

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

107900364 is a wasteful number, since it uses less digits than its factorization.

107900364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 107900364 is about 10387.5099999952. The cubic root of 107900364 is about 476.0738239664.

The spelling of 107900364 in words is "one hundred seven million, nine hundred thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 227 277 286 429 454 554 572 681 831 858 908 1108 1362 1662 1716 2497 2724 2951 3047 3324 3601 4994 5902 6094 7202 7491 8853 9141 9988 10803 11804 12188 14404 14982 17706 18282 21606 29964 32461 35412 36564 39611 43212 62879 64922 79222 97383 118833 125758 129844 158444 188637 194766 237666 251516 377274 389532 475332 691669 754548 817427 1383338 1634854 2075007 2452281 2766676 3269708 4150014 4904562 8300028 8991697 9809124 17983394 26975091 35966788 53950182 107900364