101888864 has 48 divisors (see below), whose sum is σ = 250096896. Its totient is φ = 39696000.

The previous prime is 101888851. The next prime is 101888879. The reversal of 101888864 is 468888101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 7 ways as a sum of consecutive naturals, for example, 18212 + ... + 23139.

It is an arithmetic number, because the mean of its divisors is an integer number (5210352).

Almost surely, 2^101888864 is an apocalyptic number.

101888864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101888864 is an abundant number, since it is smaller than the sum of its proper divisors (148208032).

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

101888864 is a wasteful number, since it uses less digits than its factorization.

101888864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41379 (or 41371 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 44.

The square root of 101888864 is about 10094.0013869625. The cubic root of 101888864 is about 467.0631170738.

The spelling of 101888864 in words is "one hundred one million, eight hundred eighty-eight thousand, eight hundred sixty-four".