101968900 has 36 divisors (see below), whose sum is σ = 241390800. Its totient is φ = 37079200.

The previous prime is 101968861. The next prime is 101968921. The reversal of 101968900 is 9869101.

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 11 ways as a sum of consecutive naturals, for example, 45250 + ... + 47449.

It is an arithmetic number, because the mean of its divisors is an integer number (6705300).

Almost surely, 2^101968900 is an apocalyptic number.

101968900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101968900 is an abundant number, since it is smaller than the sum of its proper divisors (139421900).

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

101968900 is a wasteful number, since it uses less digits than its factorization.

101968900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92724 (or 92717 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 34.

The square root of 101968900 is about 10097.9651415520. The cubic root of 101968900 is about 467.1853812688.

The spelling of 101968900 in words is "one hundred one million, nine hundred sixty-eight thousand, nine hundred".