107162412 has 72 divisors (see below), whose sum is σ = 300303360. Its totient is φ = 29625120.

The previous prime is 107162389. The next prime is 107162417. The reversal of 107162412 is 214261701.

It is a super-2 number, since 2×107162412² = 22967565091315488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107162417) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15289 + ... + 21167.

It is an arithmetic number, because the mean of its divisors is an integer number (4170880).

Almost surely, 2^107162412 is an apocalyptic number.

107162412 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 107162412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150151680).

107162412 is an abundant number, since it is smaller than the sum of its proper divisors (193140948).

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

107162412 is a wasteful number, since it uses less digits than its factorization.

107162412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5931 (or 5922 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 107162412 is about 10351.9279363798. The cubic root of 107162412 is about 474.9860191638.

The spelling of 107162412 in words is "one hundred seven million, one hundred sixty-two thousand, four hundred twelve".