107242812 has 96 divisors (see below), whose sum is σ = 291412800. Its totient is φ = 34062336.

The previous prime is 107242799. The next prime is 107242829. The reversal of 107242812 is 218242701.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 303628 + ... + 303980.

It is an arithmetic number, because the mean of its divisors is an integer number (3035550).

Almost surely, 2^107242812 is an apocalyptic number.

107242812 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 107242812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145706400).

107242812 is an abundant number, since it is smaller than the sum of its proper divisors (184169988).

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

107242812 is a wasteful number, since it uses less digits than its factorization.

107242812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 107242812 is about 10355.8105428788. The cubic root of 107242812 is about 475.1047776247.

The spelling of 107242812 in words is "one hundred seven million, two hundred forty-two thousand, eight hundred twelve".