100863770000 has 400 divisors, whose sum is σ = 293860334592. Its totient is φ = 32797440000.

The previous prime is 100863769999. The next prime is 100863770011. The reversal of 100863770000 is 77368001.

It is a happy number.

100863770000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×100863770000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 115009562 + ... + 115010438.

Almost surely, 2^100863770000 is an apocalyptic number.

100863770000 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 100863770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146930167296).

100863770000 is an abundant number, since it is smaller than the sum of its proper divisors (192996564592).

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

100863770000 is an equidigital number, since it uses as much as digits as its factorization.

100863770000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The spelling of 100863770000 in words is "one hundred billion, eight hundred sixty-three million, seven hundred seventy thousand".