102638800 has 60 divisors (see below), whose sum is σ = 269018496. Its totient is φ = 37321600.

The previous prime is 102638761. The next prime is 102638821. The reversal of 102638800 is 8836201.

It is a congruent number.

It is an unprimeable number.

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, 7264 + ... + 16063.

Almost surely, 2^102638800 is an apocalyptic number.

102638800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102638800 is an abundant number, since it is smaller than the sum of its proper divisors (166379696).

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

102638800 is a wasteful number, since it uses less digits than its factorization.

102638800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23356 (or 23345 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 102638800 is about 10131.0808900137. The cubic root of 102638800 is about 468.2062304857.

The spelling of 102638800 in words is "one hundred two million, six hundred thirty-eight thousand, eight hundred".