102296632320 has 1408 divisors, whose sum is σ = 424465920000. Its totient is φ = 23187161088.

The previous prime is 102296632297. The next prime is 102296632379. The reversal of 102296632320 is 23236692201.

It is a happy number.

102296632320 is a `hidden beast` number, since 10 + 2 + 2 + 9 + 6 + 632 + 3 + 2 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1294894041 + ... + 1294894119.

Almost surely, 2^102296632320 is an apocalyptic number.

102296632320 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 102296632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212232960000).

102296632320 is an abundant number, since it is smaller than the sum of its proper divisors (322169287680).

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

102296632320 is a wasteful number, since it uses less digits than its factorization.

102296632320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 102296632320 in words is "one hundred two billion, two hundred ninety-six million, six hundred thirty-two thousand, three hundred twenty".