100938803760 has 60 divisors (see below), whose sum is σ = 338986151712. Its totient is φ = 26917014144.

The previous prime is 100938803759. The next prime is 100938803821. The reversal of 100938803760 is 67308839001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70095672 + ... + 70097111.

Almost surely, 2^100938803760 is an apocalyptic number.

100938803760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100938803760 is an abundant number, since it is smaller than the sum of its proper divisors (238047347952).

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

100938803760 is a wasteful number, since it uses less digits than its factorization.

100938803760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140192802 (or 140192793 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 100938803760 in words is "one hundred billion, nine hundred thirty-eight million, eight hundred three thousand, seven hundred sixty".