102071132352 has 336 divisors, whose sum is σ = 362276209152. Its totient is φ = 26808606720.

The previous prime is 102071132329. The next prime is 102071132411. The reversal of 102071132352 is 253231170201.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2930077 + ... + 2964707.

Almost surely, 2^102071132352 is an apocalyptic number.

102071132352 is a gapful number since it is divisible by the number (12) 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 102071132352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181138104576).

102071132352 is an abundant number, since it is smaller than the sum of its proper divisors (260205076800).

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

102071132352 is a wasteful number, since it uses less digits than its factorization.

102071132352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34716 (or 34703 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 102071132352 in words is "one hundred two billion, seventy-one million, one hundred thirty-two thousand, three hundred fifty-two".