102686400 has 168 divisors, whose sum is σ = 374487440. Its totient is φ = 27371520.

The previous prime is 102686351. The next prime is 102686413. The reversal of 102686400 is 4686201.

102686400 is a `hidden beast` number, since 10 + 2 + 6 + 8 + 640 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 42012 + ... + 44388.

Almost surely, 2^102686400 is an apocalyptic number.

102686400 is a gapful number since it is divisible by the number (10) 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 102686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187243720).

102686400 is an abundant number, since it is smaller than the sum of its proper divisors (271801040).

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

102686400 is a wasteful number, since it uses less digits than its factorization.

102686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 102686400 is about 10133.4298241020. The cubic root of 102686400 is about 468.2785980901.

The spelling of 102686400 in words is "one hundred two million, six hundred eighty-six thousand, four hundred".