107073792 has 144 divisors (see below), whose sum is σ = 362033280. Its totient is φ = 30578688.

The previous prime is 107073787. The next prime is 107073793. The reversal of 107073792 is 297370701.

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

It is a super-2 number, since 2×107073792² = 22929593866518528, 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 (107073793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47278 + ... + 49490.

It is an arithmetic number, because the mean of its divisors is an integer number (2514120).

Almost surely, 2^107073792 is an apocalyptic number.

107073792 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 107073792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181016640).

107073792 is an abundant number, since it is smaller than the sum of its proper divisors (254959488).

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

107073792 is an equidigital number, since it uses as much as digits as its factorization.

107073792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 107073792 is about 10347.6466889820. The cubic root of 107073792 is about 474.8550501394.

The spelling of 107073792 in words is "one hundred seven million, seventy-three thousand, seven hundred ninety-two".