102468853944900 has 144 divisors (see below), whose sum is σ = 329421973977600. Its totient is φ = 27324730408320.

The previous prime is 102468853944881. The next prime is 102468853944911. The reversal of 102468853944900 is 9449358864201.

102468853944900 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 6 + 8 + 8 + 53 + 94 + 490 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372675874 + ... + 372950726.

Almost surely, 2^{102468853944900} is an apocalyptic number.

102468853944900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102468853944900 is an abundant number, since it is smaller than the sum of its proper divisors (226953120032700).

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

102468853944900 is a wasteful number, since it uses less digits than its factorization.

102468853944900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412955 (or 412942 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 102468853944900 in words is "one hundred two trillion, four hundred sixty-eight billion, eight hundred fifty-three million, nine hundred forty-four thousand, nine hundred".