102616800 has 432 divisors, whose sum is σ = 411723648. Its totient is φ = 21964800.

The previous prime is 102616793. The next prime is 102616831. The reversal of 102616800 is 8616201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4461589 + ... + 4461611.

It is an arithmetic number, because the mean of its divisors is an integer number (953064).

Almost surely, 2^102616800 is an apocalyptic number.

102616800 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 102616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205861824).

102616800 is an abundant number, since it is smaller than the sum of its proper divisors (309106848).

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

102616800 is a wasteful number, since it uses less digits than its factorization.

102616800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 102616800 is about 10129.9950641646. The cubic root of 102616800 is about 468.1727757132.

The spelling of 102616800 in words is "one hundred two million, six hundred sixteen thousand, eight hundred".