102057888 has 48 divisors (see below), whose sum is σ = 271313280. Its totient is φ = 33586176.

The previous prime is 102057883. The next prime is 102057947. The reversal of 102057888 is 888750201.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (102057881) 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 7 ways as a sum of consecutive naturals, for example, 856 + ... + 14312.

It is an arithmetic number, because the mean of its divisors is an integer number (5652360).

Almost surely, 2^102057888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102057888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135656640).

102057888 is an abundant number, since it is smaller than the sum of its proper divisors (169255392).

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

102057888 is a wasteful number, since it uses less digits than its factorization.

102057888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13549 (or 13541 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 102057888 is about 10102.3704149076. The cubic root of 102057888 is about 467.3212455854.

The spelling of 102057888 in words is "one hundred two million, fifty-seven thousand, eight hundred eighty-eight".