100365263640 has 96 divisors (see below), whose sum is σ = 337434973200. Its totient is φ = 25841168640.

The previous prime is 100365263633. The next prime is 100365263653. The reversal of 100365263640 is 46362563001.

100365263640 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 6 + 5 + 2 + 6 + 3 + 640 = 666.

It is a super-2 number, since 2×100365263640² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100365263595 and 100365263604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4796326 + ... + 4817205.

Almost surely, 2^100365263640 is an apocalyptic number.

100365263640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100365263640 is an abundant number, since it is smaller than the sum of its proper divisors (237069709560).

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

100365263640 is a wasteful number, since it uses less digits than its factorization.

100365263640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9613577 (or 9613570 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 100365263640 in words is "one hundred billion, three hundred sixty-five million, two hundred sixty-three thousand, six hundred forty".