102057696 has 72 divisors (see below), whose sum is σ = 312563160. Its totient is φ = 31401216.

The previous prime is 102057691. The next prime is 102057731. The reversal of 102057696 is 696750201.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102057696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102057691) by changing a digit.

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, 9886 + ... + 17373.

It is an arithmetic number, because the mean of its divisors is an integer number (4341155).

Almost surely, 2^102057696 is an apocalyptic number.

102057696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102057696 is an abundant number, since it is smaller than the sum of its proper divisors (210505464).

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

102057696 is a wasteful number, since it uses less digits than its factorization.

102057696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27288 (or 27277 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 102057696 is about 10102.3609121829. The cubic root of 102057696 is about 467.3209525304.

The spelling of 102057696 in words is "one hundred two million, fifty-seven thousand, six hundred ninety-six".