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100645864 = 23112173601
BaseRepresentation
bin1011111111110…
…11101111101000
321000101100011121
411333323233220
5201231131424
613553105024
72331322114
oct577735750
9230340147
10100645864
11518a2800
1229858174
1317b0b787
14d51c744
158c80ee4
hex5ffbbe8

100645864 has 48 divisors (see below), whose sum is σ = 208972260. Its totient is φ = 45408000.

The previous prime is 100645829. The next prime is 100645901. The reversal of 100645864 is 468546001.

It can be written as a sum of positive squares in 2 ways, for example, as 83356900 + 17288964 = 9130^2 + 4158^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167164 + ... + 167764.

Almost surely, 2100645864 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 100645864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104486130).

100645864 is an abundant number, since it is smaller than the sum of its proper divisors (108326396).

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

100645864 is a wasteful number, since it uses less digits than its factorization.

100645864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 100645864 is about 10032.2412251700. The cubic root of 100645864 is about 465.1560180978.

The spelling of 100645864 in words is "one hundred million, six hundred forty-five thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 121 173 242 346 484 601 692 968 1202 1384 1903 2404 3806 4808 6611 7612 13222 15224 20933 26444 41866 52888 72721 83732 103973 145442 167464 207946 290884 415892 581768 831784 1143703 2287406 4574812 9149624 12580733 25161466 50322932 100645864