108138261504 has 528 divisors, whose sum is σ = 366506474208. Its totient is φ = 28092137472.

The previous prime is 108138261481. The next prime is 108138261523. The reversal of 108138261504 is 405162831801.

It is a super-2 number, since 2×108138261504² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 142850694 + ... + 142851450.

Almost surely, 2^108138261504 is an apocalyptic number.

108138261504 is a gapful number since it is divisible by the number (14) 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 108138261504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183253237104).

108138261504 is an abundant number, since it is smaller than the sum of its proper divisors (258368212704).

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

108138261504 is a wasteful number, since it uses less digits than its factorization.

108138261504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 108138261504 in words is "one hundred eight billion, one hundred thirty-eight million, two hundred sixty-one thousand, five hundred four".