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100245816 = 233311311361
BaseRepresentation
bin1011111100110…
…10000100111000
320222122000102000
411332122010320
5201130331231
613540341000
72325034566
oct576320470
9228560360
10100245816
115164a190
12296a4760
13179cb668
14d456a36
158c026e6
hex5f9a138

100245816 has 128 divisors (see below), whose sum is σ = 313804800. Its totient is φ = 29376000.

The previous prime is 100245811. The next prime is 100245829. The reversal of 100245816 is 618542001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 100245816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100245811) 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, 72976 + ... + 74336.

It is an arithmetic number, because the mean of its divisors is an integer number (2451600).

Almost surely, 2100245816 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 100245816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156902400).

100245816 is an abundant number, since it is smaller than the sum of its proper divisors (213558984).

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

100245816 is a wasteful number, since it uses less digits than its factorization.

100245816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 100245816 is about 10012.2832560810. The cubic root of 100245816 is about 464.5388977527.

Adding to 100245816 its reverse (618542001), we get a palindrome (718787817).

The spelling of 100245816 in words is "one hundred million, two hundred forty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 88 93 99 108 124 132 186 198 216 248 264 279 297 341 372 396 558 594 682 744 792 837 1023 1116 1188 1361 1364 1674 2046 2232 2376 2722 2728 3069 3348 4083 4092 5444 6138 6696 8166 8184 9207 10888 12249 12276 14971 16332 18414 24498 24552 29942 32664 36747 36828 42191 44913 48996 59884 73494 73656 84382 89826 97992 119768 126573 134739 146988 168764 179652 253146 269478 293976 337528 359304 379719 404217 464101 506292 538956 759438 808434 928202 1012584 1077912 1139157 1392303 1518876 1616868 1856404 2278314 2784606 3037752 3233736 3712808 4176909 4556628 5569212 8353818 9113256 11138424 12530727 16707636 25061454 33415272 50122908 100245816