107242992 has 90 divisors (see below), whose sum is σ = 316912752. Its totient is φ = 33849792.

The previous prime is 107242969. The next prime is 107243023. The reversal of 107242992 is 299242701.

It is a super-2 number, since 2×107242992² = 23002118666224128, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50953 + ... + 53015.

Almost surely, 2^107242992 is an apocalyptic number.

107242992 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 107242992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158456376).

107242992 is an abundant number, since it is smaller than the sum of its proper divisors (209669760).

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

107242992 is a wasteful number, since it uses less digits than its factorization.

107242992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 107242992 is about 10355.8192336483. The cubic root of 107242992 is about 475.1050434352.

The spelling of 107242992 in words is "one hundred seven million, two hundred forty-two thousand, nine hundred ninety-two".