101968516 has 72 divisors (see below), whose sum is σ = 215822880. Its totient is φ = 41872896.

The previous prime is 101968507. The next prime is 101968541. The reversal of 101968516 is 615869101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218115 + ... + 218581.

It is an arithmetic number, because the mean of its divisors is an integer number (2997540).

Almost surely, 2^101968516 is an apocalyptic number.

It is an amenable number.

101968516 is an abundant number, since it is smaller than the sum of its proper divisors (113854364).

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

101968516 is a wasteful number, since it uses less digits than its factorization.

101968516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 101968516 is about 10097.9461278024. The cubic root of 101968516 is about 467.1847948174.

The spelling of 101968516 in words is "one hundred one million, nine hundred sixty-eight thousand, five hundred sixteen".