108006878736 has 315 divisors, whose sum is σ = 335165451901. Its totient is φ = 33695212032.

The previous prime is 108006878729. The next prime is 108006878783. The reversal of 108006878736 is 637878600801.

The square root of 108006878736 is 328644.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 84088400400 + 23918478336 = 289980^2 + 154656^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 603390295 + ... + 603390473.

Almost surely, 2^108006878736 is an apocalyptic number.

108006878736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

108006878736 is the 328644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108006878736

108006878736 is an abundant number, since it is smaller than the sum of its proper divisors (227158573165).

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

108006878736 is an frugal number, since it uses more digits than its factorization.

108006878736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 108006878736 in words is "one hundred eight billion, six million, eight hundred seventy-eight thousand, seven hundred thirty-six".