101535890058 has 12 divisors (see below), whose sum is σ = 219994428498. Its totient is φ = 33845296680.

The previous prime is 101535889993. The next prime is 101535890059. The reversal of 101535890058 is 850098535101.

101535890058 is a `hidden beast` number, since 1 + 0 + 15 + 3 + 589 + 0 + 0 + 58 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52850791449 + 48685098609 = 229893^2 + 220647^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101535889995 and 101535890022.

It is not an unprimeable number, because it can be changed into a prime (101535890059) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2820441373 + ... + 2820441408.

Almost surely, 2^101535890058 is an apocalyptic number.

101535890058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

101535890058 is an abundant number, since it is smaller than the sum of its proper divisors (118458538440).

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

101535890058 is a wasteful number, since it uses less digits than its factorization.

101535890058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5640882789 (or 5640882786 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 101535890058 in words is "one hundred one billion, five hundred thirty-five million, eight hundred ninety thousand, fifty-eight".