102993600 has 168 divisors, whose sum is σ = 346456000. Its totient is φ = 26772480.

The previous prime is 102993593. The next prime is 102993613. The reversal of 102993600 is 6399201.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 206151 + ... + 206649.

Almost surely, 2^102993600 is an apocalyptic number.

102993600 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 102993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173228000).

102993600 is an abundant number, since it is smaller than the sum of its proper divisors (243462400).

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

102993600 is a wasteful number, since it uses less digits than its factorization.

102993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 102993600 is about 10148.5762548251. The cubic root of 102993600 is about 468.7451057267.

The spelling of 102993600 in words is "one hundred two million, nine hundred ninety-three thousand, six hundred".