102522993408 has 180 divisors, whose sum is σ = 333497122728. Its totient is φ = 31067504640.

The previous prime is 102522993401. The next prime is 102522993449. The reversal of 102522993408 is 804399225201.

102522993408 is a `hidden beast` number, since 1 + 0 + 2 + 522 + 99 + 34 + 0 + 8 = 666.

It is a super-2 number, since 2×102522993408² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102522993401) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3360 + ... + 452832.

Almost surely, 2^102522993408 is an apocalyptic number.

102522993408 is a gapful number since it is divisible by the number (18) 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 102522993408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166748561364).

102522993408 is an abundant number, since it is smaller than the sum of its proper divisors (230974129320).

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

102522993408 is an equidigital number, since it uses as much as digits as its factorization.

102522993408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449512 (or 449489 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 102522993408 in words is "one hundred two billion, five hundred twenty-two million, nine hundred ninety-three thousand, four hundred eight".