102018903244800 has 1632 divisors, whose sum is σ = 361263166594176. Its totient is φ = 25367150592000.

The previous prime is 102018903244793. The next prime is 102018903244891. The reversal of 102018903244800 is 8442309810201.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 528595353504 + ... + 528595353696.

Almost surely, 2^{102018903244800} is an apocalyptic number.

102018903244800 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 102018903244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180631583297088).

102018903244800 is an abundant number, since it is smaller than the sum of its proper divisors (259244263349376).

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

102018903244800 is an equidigital number, since it uses as much as digits as its factorization.

102018903244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 102018903244800 in words is "one hundred two trillion, eighteen billion, nine hundred three million, two hundred forty-four thousand, eight hundred".