102952231200 has 2160 divisors, whose sum is σ = 498185614080. Its totient is φ = 20185251840.

The previous prime is 102952231171. The next prime is 102952231211. The reversal of 102952231200 is 2132259201.

It is a happy number.

102952231200 is a `hidden beast` number, since 10 + 2 + 9 + 522 + 3 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1303192761 + ... + 1303192839.

It is an arithmetic number, because the mean of its divisors is an integer number (230641488).

Almost surely, 2^102952231200 is an apocalyptic number.

102952231200 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 102952231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249092807040).

102952231200 is an abundant number, since it is smaller than the sum of its proper divisors (395233382880).

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

102952231200 is a wasteful number, since it uses less digits than its factorization.

102952231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 126 counting only the distinct ones).

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

The spelling of 102952231200 in words is "one hundred two billion, nine hundred fifty-two million, two hundred thirty-one thousand, two hundred".