100374668736 has 112 divisors (see below), whose sum is σ = 277350248448. Its totient is φ = 31977088000.

The previous prime is 100374668731. The next prime is 100374668747. The reversal of 100374668736 is 637866473001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100374668731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5736481 + ... + 5753951.

It is an arithmetic number, because the mean of its divisors is an integer number (2476341504).

Almost surely, 2^100374668736 is an apocalyptic number.

100374668736 is a gapful number since it is divisible by the number (16) 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 100374668736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138675124224).

100374668736 is an abundant number, since it is smaller than the sum of its proper divisors (176975579712).

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

100374668736 is a wasteful number, since it uses less digits than its factorization.

100374668736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18810 (or 18800 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 100374668736 in words is "one hundred billion, three hundred seventy-four million, six hundred sixty-eight thousand, seven hundred thirty-six".