100190785500 has 288 divisors, whose sum is σ = 340958846592. Its totient is φ = 24620544000.

The previous prime is 100190785493. The next prime is 100190785501. The reversal of 100190785500 is 5587091001.

100190785500 is a `hidden beast` number, since 10 + 0 + 1 + 90 + 7 + 8 + 550 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100190785501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48144460 + ... + 48146540.

It is an arithmetic number, because the mean of its divisors is an integer number (1183884884).

Almost surely, 2^100190785500 is an apocalyptic number.

100190785500 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 100190785500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170479423296).

100190785500 is an abundant number, since it is smaller than the sum of its proper divisors (240768061092).

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

100190785500 is a wasteful number, since it uses less digits than its factorization.

100190785500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The spelling of 100190785500 in words is "one hundred billion, one hundred ninety million, seven hundred eighty-five thousand, five hundred".