102655400 has 24 divisors (see below), whose sum is σ = 238674270. Its totient is φ = 41062080.

The previous prime is 102655363. The next prime is 102655403. The reversal of 102655400 is 4556201.

It can be written as a sum of positive squares in 3 ways, for example, as 97574884 + 5080516 = 9878^2 + 2254^2 .

It is a super-2 number, since 2×102655400² = 21076262298320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102655403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 256439 + ... + 256838.

Almost surely, 2^102655400 is an apocalyptic number.

102655400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102655400 is an abundant number, since it is smaller than the sum of its proper divisors (136018870).

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

102655400 is a wasteful number, since it uses less digits than its factorization.

102655400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513293 (or 513284 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 102655400 is about 10131.9001179443. The cubic root of 102655400 is about 468.2314704679.

The spelling of 102655400 in words is "one hundred two million, six hundred fifty-five thousand, four hundred".