102457008 has 60 divisors (see below), whose sum is σ = 294694680. Its totient is φ = 34082208.

The previous prime is 102456997. The next prime is 102457027. The reversal of 102457008 is 800754201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210141 + ... + 210627.

It is an arithmetic number, because the mean of its divisors is an integer number (4911578).

Almost surely, 2^102457008 is an apocalyptic number.

102457008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102457008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147347340).

102457008 is an abundant number, since it is smaller than the sum of its proper divisors (192237672).

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

102457008 is an frugal number, since it uses more digits than its factorization.

102457008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 102457008 is about 10122.1049194325. The cubic root of 102457008 is about 467.9296409678.

Multiplying 102457008 by its sum of digits (27), we get a square (2766339216 = 52596²).

102457008 divided by its sum of digits (27) gives a square (3794704 = 1948²).

The spelling of 102457008 in words is "one hundred two million, four hundred fifty-seven thousand, eight".