100364759040 has 832 divisors, whose sum is σ = 409523788800. Its totient is φ = 20412628992.

The previous prime is 100364759039. The next prime is 100364759051. The reversal of 100364759040 is 40957463001.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 100364759040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162139851 + ... + 162140469.

Almost surely, 2^100364759040 is an apocalyptic number.

100364759040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100364759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204761894400).

100364759040 is an abundant number, since it is smaller than the sum of its proper divisors (309159029760).

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

100364759040 is a wasteful number, since it uses less digits than its factorization.

100364759040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 100364759040 in words is "one hundred billion, three hundred sixty-four million, seven hundred fifty-nine thousand, forty".