102032310016 has 288 divisors, whose sum is σ = 263197605888. Its totient is φ = 38368788480.

The previous prime is 102032309999. The next prime is 102032310041. The reversal of 102032310016 is 610013230201.

It is a super-2 number, since 2×102032310016² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102032309975 and 102032310002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102338830 + ... + 102339826.

It is an arithmetic number, because the mean of its divisors is an integer number (913880576).

Almost surely, 2^102032310016 is an apocalyptic number.

102032310016 is a gapful number since it is divisible by the number (16) 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 102032310016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131598802944).

102032310016 is an abundant number, since it is smaller than the sum of its proper divisors (161165295872).

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

102032310016 is a wasteful number, since it uses less digits than its factorization.

102032310016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 102032310016 its reverse (610013230201), we get a palindrome (712045540217).

The spelling of 102032310016 in words is "one hundred two billion, thirty-two million, three hundred ten thousand, sixteen".