102013800 has 192 divisors, whose sum is σ = 366405120. Its totient is φ = 22997760.

The previous prime is 102013789. The next prime is 102013819. The reversal of 102013800 is 8310201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102013800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 449287 + ... + 449513.

It is an arithmetic number, because the mean of its divisors is an integer number (1908360).

Almost surely, 2^102013800 is an apocalyptic number.

102013800 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 102013800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183202560).

102013800 is an abundant number, since it is smaller than the sum of its proper divisors (264391320).

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

102013800 is a wasteful number, since it uses less digits than its factorization.

102013800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 102013800 is about 10100.1881170600. The cubic root of 102013800 is about 467.2539431717.

The spelling of 102013800 in words is "one hundred two million, thirteen thousand, eight hundred".