108006338790 has 384 divisors, whose sum is σ = 345807221760. Its totient is φ = 23731481088.

The previous prime is 108006338789. The next prime is 108006338801. The reversal of 108006338790 is 97833600801.

It is a happy number.

108006338790 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 0 + 633 + 8 + 7 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 183996877 + ... + 183997463.

It is an arithmetic number, because the mean of its divisors is an integer number (900539640).

Almost surely, 2^108006338790 is an apocalyptic number.

108006338790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 108006338790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172903610880).

108006338790 is an abundant number, since it is smaller than the sum of its proper divisors (237800882970).

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

108006338790 is a wasteful number, since it uses less digits than its factorization.

108006338790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 108006338790 in words is "one hundred eight billion, six million, three hundred thirty-eight thousand, seven hundred ninety".