101961568 has 24 divisors (see below), whose sum is σ = 201277440. Its totient is φ = 50843520.

The previous prime is 101961539. The next prime is 101961589. The reversal of 101961568 is 865169101.

It is a super-2 number, since 2×101961568² = 20792322698037248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8353 + ... + 16543.

It is an arithmetic number, because the mean of its divisors is an integer number (8386560).

Almost surely, 2^101961568 is an apocalyptic number.

It is an amenable number.

101961568 is a deficient number, since it is larger than the sum of its proper divisors (99315872).

101961568 is an equidigital number, since it uses as much as digits as its factorization.

101961568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8590 (or 8582 counting only the distinct ones).

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

The square root of 101961568 is about 10097.6020915859. The cubic root of 101961568 is about 467.1741834580.

The spelling of 101961568 in words is "one hundred one million, nine hundred sixty-one thousand, five hundred sixty-eight".