101787039900 has 864 divisors, whose sum is σ = 414448140288. Its totient is φ = 20317132800.

The previous prime is 101787039863. The next prime is 101787039901. The reversal of 101787039900 is 9930787101.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101787039901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 119327874 + ... + 119328726.

Almost surely, 2^101787039900 is an apocalyptic number.

101787039900 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 101787039900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207224070144).

101787039900 is an abundant number, since it is smaller than the sum of its proper divisors (312661100388).

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

101787039900 is a wasteful number, since it uses less digits than its factorization.

101787039900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 101787039900 in words is "one hundred one billion, seven hundred eighty-seven million, thirty-nine thousand, nine hundred".