100357358137 has 2 divisors, whose sum is σ = 100357358138. Its totient is φ = 100357358136.

The previous prime is 100357358117. The next prime is 100357358239. The reversal of 100357358137 is 731853753001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70468480681 + 29888877456 = 265459^2 + 172884^2 .

It is a cyclic number.

It is not a de Polignac number, because 100357358137 - 2³⁵ = 65997619769 is a prime.

It is a super-2 number, since 2×100357358137² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100357358093 and 100357358102.

It is not a weakly prime, because it can be changed into another prime (100357358117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50178679068 + 50178679069.

It is an arithmetic number, because the mean of its divisors is an integer number (50178679069).

Almost surely, 2^100357358137 is an apocalyptic number.

It is an amenable number.

100357358137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100357358137 is an equidigital number, since it uses as much as digits as its factorization.

100357358137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 264600, while the sum is 43.

The spelling of 100357358137 in words is "one hundred billion, three hundred fifty-seven million, three hundred fifty-eight thousand, one hundred thirty-seven".