102432053606400 has 3240 divisors, whose sum is σ = 447896749023360. Its totient is φ = 23228686172160.

The previous prime is 102432053606359. The next prime is 102432053606401. The reversal of 102432053606400 is 4606350234201.

102432053606400 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 3 + 2 + 0 + 5 + 3 + 6 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a super-2 number, since 2×102432053606400² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102432053606401) by changing a digit.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 806551603137 + ... + 806551603263.

Almost surely, 2^{102432053606400} is an apocalyptic number.

102432053606400 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 102432053606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223948374511680).

102432053606400 is an abundant number, since it is smaller than the sum of its proper divisors (345464695416960).

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

102432053606400 is an frugal number, since it uses more digits than its factorization.

102432053606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 102432053606400 in words is "one hundred two trillion, four hundred thirty-two billion, fifty-three million, six hundred six thousand, four hundred".