102953214000 has 1920 divisors, whose sum is σ = 479766792960. Its totient is φ = 20901888000.

The previous prime is 102953213999. The next prime is 102953214017. The reversal of 102953214000 is 412359201.

102953214000 is a `hidden beast` number, since 10 + 295 + 321 + 40 + 0 + 0 = 666.

102953214000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1410317964 + ... + 1410318036.

It is an arithmetic number, because the mean of its divisors is an integer number (249878538).

Almost surely, 2^102953214000 is an apocalyptic number.

102953214000 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 102953214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239883396480).

102953214000 is an abundant number, since it is smaller than the sum of its proper divisors (376813578960).

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

102953214000 is a wasteful number, since it uses less digits than its factorization.

102953214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 102953214000 in words is "one hundred two billion, nine hundred fifty-three million, two hundred fourteen thousand".