101135968 has 24 divisors (see below), whose sum is σ = 207769968. Its totient is φ = 48369024.

The previous prime is 101135959. The next prime is 101135989. The reversal of 101135968 is 869531101.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67971 + ... + 69442.

It is an arithmetic number, because the mean of its divisors is an integer number (8657082).

Almost surely, 2^101135968 is an apocalyptic number.

It is an amenable number.

101135968 is an abundant number, since it is smaller than the sum of its proper divisors (106634000).

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

101135968 is a wasteful number, since it uses less digits than its factorization.

101135968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137446 (or 137438 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 101135968 is about 10056.6380068092. The cubic root of 101135968 is about 465.9098353802.

The spelling of 101135968 in words is "one hundred one million, one hundred thirty-five thousand, nine hundred sixty-eight".