108081792 has 192 divisors, whose sum is σ = 383160960. Its totient is φ = 28477440.

The previous prime is 108081791. The next prime is 108081793. The reversal of 108081792 is 297180801.

It is an interprime number because it is at equal distance from previous prime (108081791) and next prime (108081793).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (108081791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104317 + ... + 105347.

It is an arithmetic number, because the mean of its divisors is an integer number (1995630).

Almost surely, 2^108081792 is an apocalyptic number.

108081792 is a gapful number since it is divisible by the number (12) 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 108081792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191580480).

108081792 is an abundant number, since it is smaller than the sum of its proper divisors (275079168).

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

108081792 is a wasteful number, since it uses less digits than its factorization.

108081792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 108081792 is about 10396.2393200618. The cubic root of 108081792 is about 476.3405044276.

The spelling of 108081792 in words is "one hundred eight million, eighty-one thousand, seven hundred ninety-two".