100137797435968 has 224 divisors, whose sum is σ = 219584513433600. Its totient is φ = 45096074182656.

The previous prime is 100137797435953. The next prime is 100137797436043. The reversal of 100137797435968 is 869534797731001.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 100137797435897 and 100137797435906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4259539798 + ... + 4259563306.

It is an arithmetic number, because the mean of its divisors is an integer number (980288006400).

Almost surely, 2^{100137797435968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100137797435968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109792256716800).

100137797435968 is an abundant number, since it is smaller than the sum of its proper divisors (119446715997632).

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

100137797435968 is a wasteful number, since it uses less digits than its factorization.

100137797435968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24757 (or 24747 counting only the distinct ones).

The product of its (nonzero) digits is 240045120, while the sum is 70.

The spelling of 100137797435968 in words is "one hundred trillion, one hundred thirty-seven billion, seven hundred ninety-seven million, four hundred thirty-five thousand, nine hundred sixty-eight".