107109792 has 144 divisors (see below), whose sum is σ = 326918592. Its totient is φ = 33146880.

The previous prime is 107109791. The next prime is 107109811. The reversal of 107109792 is 297901701.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×107109792² = 22945015084566528, which contains 22 as substring.

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 (107109791) 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, 641293 + ... + 641459.

It is an arithmetic number, because the mean of its divisors is an integer number (2270268).

Almost surely, 2^107109792 is an apocalyptic number.

107109792 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 107109792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163459296).

107109792 is an abundant number, since it is smaller than the sum of its proper divisors (219808800).

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

107109792 is a wasteful number, since it uses less digits than its factorization.

107109792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 107109792 is about 10349.3860687482. The cubic root of 107109792 is about 474.9082622467.

It can be divided in two parts, 10710 and 9792, that added together give a palindrome (20502).

The spelling of 107109792 in words is "one hundred seven million, one hundred nine thousand, seven hundred ninety-two".