100937806992 has 480 divisors, whose sum is σ = 338178355200. Its totient is φ = 28741236480.

The previous prime is 100937806987. The next prime is 100937806997. The reversal of 100937806992 is 299608739001.

It is an interprime number because it is at equal distance from previous prime (100937806987) and next prime (100937806997).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (100937806997) 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, 70932393 + ... + 70933815.

It is an arithmetic number, because the mean of its divisors is an integer number (704538240).

Almost surely, 2^100937806992 is an apocalyptic number.

100937806992 is a gapful number since it is divisible by the number (12) 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 100937806992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169089177600).

100937806992 is an abundant number, since it is smaller than the sum of its proper divisors (237240548208).

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

100937806992 is a wasteful number, since it uses less digits than its factorization.

100937806992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 100937806992 in words is "one hundred billion, nine hundred thirty-seven million, eight hundred six thousand, nine hundred ninety-two".