102258944 has 36 divisors (see below), whose sum is σ = 216134604. Its totient is φ = 48119808.

The previous prime is 102258913. The next prime is 102258971. The reversal of 102258944 is 449852201.

It can be written as a sum of positive squares in 2 ways, for example, as 80281600 + 21977344 = 8960^2 + 4688^2 .

It is a super-3 number, since 3×102258944³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7397 + ... + 16100.

It is an arithmetic number, because the mean of its divisors is an integer number (6003739).

Almost surely, 2^102258944 is an apocalyptic number.

It is an amenable number.

102258944 is an abundant number, since it is smaller than the sum of its proper divisors (113875660).

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

102258944 is an equidigital number, since it uses as much as digits as its factorization.

102258944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23530 (or 23516 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 102258944 is about 10112.3164507446. The cubic root of 102258944 is about 467.6279215648.

The spelling of 102258944 in words is "one hundred two million, two hundred fifty-eight thousand, nine hundred forty-four".