102257008 has 40 divisors (see below), whose sum is σ = 229822592. Its totient is φ = 43167168.

The previous prime is 102256991. The next prime is 102257009. The reversal of 102257008 is 800752201.

It is a super-2 number, since 2×102257008² = 20912991370224128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102257009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 691 + ... + 14317.

Almost surely, 2^102257008 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 102257008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114911296).

102257008 is an abundant number, since it is smaller than the sum of its proper divisors (127565584).

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

102257008 is a wasteful number, since it uses less digits than its factorization.

102257008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13709 (or 13703 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 102257008 is about 10112.2207254391. The cubic root of 102257008 is about 467.6249704509.

The spelling of 102257008 in words is "one hundred two million, two hundred fifty-seven thousand, eight".