102255739416896 has 112 divisors (see below), whose sum is σ = 218876265425664. Its totient is φ = 47118606667776.

The previous prime is 102255739416877. The next prime is 102255739416899. The reversal of 102255739416896 is 698614937552201.

It is a super-2 number, since 2×102255739416896² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102255739416899) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1410329381 + ... + 1410401883.

It is an arithmetic number, because the mean of its divisors is an integer number (1954252369872).

It is a 1-persistent number, because it is pandigital, but 2⋅102255739416896 = 204511478833792 is not.

Almost surely, 2^{102255739416896} is an apocalyptic number.

102255739416896 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 102255739416896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109438132712832).

102255739416896 is an abundant number, since it is smaller than the sum of its proper divisors (116620526008768).

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

102255739416896 is a wasteful number, since it uses less digits than its factorization.

102255739416896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75248 (or 75238 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 68.

Adding to 102255739416896 its sum of digits (68), we get a square (102255739416964 = 10112158²).

The spelling of 102255739416896 in words is "one hundred two trillion, two hundred fifty-five billion, seven hundred thirty-nine million, four hundred sixteen thousand, eight hundred ninety-six".