102093600 has 288 divisors, whose sum is σ = 389975040. Its totient is φ = 22717440.

The previous prime is 102093599. The next prime is 102093643. The reversal of 102093600 is 6390201.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 991149 + ... + 991251.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 2^102093600 is an apocalyptic number.

102093600 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 102093600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

102093600 is an abundant number, since it is smaller than the sum of its proper divisors (287881440).

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

102093600 is a wasteful number, since it uses less digits than its factorization.

102093600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 102093600 is about 10104.1377662817. The cubic root of 102093600 is about 467.3757474321.

The spelling of 102093600 in words is "one hundred two million, ninety-three thousand, six hundred".