102059228832 has 192 divisors, whose sum is σ = 305087223168. Its totient is φ = 29597184000.

The previous prime is 102059228827. The next prime is 102059228839. The reversal of 102059228832 is 238822950201.

It is not an unprimeable number, because it can be changed into a prime (102059228839) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2361982 + ... + 2404802.

It is an arithmetic number, because the mean of its divisors is an integer number (1588995954).

Almost surely, 2^102059228832 is an apocalyptic number.

102059228832 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 102059228832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152543611584).

102059228832 is an abundant number, since it is smaller than the sum of its proper divisors (203027994336).

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

102059228832 is a wasteful number, since it uses less digits than its factorization.

102059228832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42943 (or 42935 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

It can be divided in two parts, 102059 and 228832, that added together give a triangular number (330891 = T₈₁₃).

The spelling of 102059228832 in words is "one hundred two billion, fifty-nine million, two hundred twenty-eight thousand, eight hundred thirty-two".