102990182400 has 1152 divisors, whose sum is σ = 448471296000. Its totient is φ = 22666936320.

The previous prime is 102990182389. The next prime is 102990182413. The reversal of 102990182400 is 4281099201.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 280627017 + ... + 280627383.

It is an arithmetic number, because the mean of its divisors is an integer number (389298000).

Almost surely, 2^102990182400 is an apocalyptic number.

102990182400 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 102990182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224235648000).

102990182400 is an abundant number, since it is smaller than the sum of its proper divisors (345481113600).

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

102990182400 is a wasteful number, since it uses less digits than its factorization.

102990182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

It can be divided in two parts, 102990 and 182400, that added together give a triangular number (285390 = T₇₅₅).

The spelling of 102990182400 in words is "one hundred two billion, nine hundred ninety million, one hundred eighty-two thousand, four hundred".