107046912 has 192 divisors, whose sum is σ = 345945600. Its totient is φ = 28753920.

The previous prime is 107046911. The next prime is 107046923. The reversal of 107046912 is 219640701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×107046912² = 22918082737471488, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107046912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107046911) 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, 817087 + ... + 817217.

It is an arithmetic number, because the mean of its divisors is an integer number (1801800).

Almost surely, 2^107046912 is an apocalyptic number.

107046912 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 107046912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172972800).

107046912 is an abundant number, since it is smaller than the sum of its proper divisors (238898688).

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

107046912 is a wasteful number, since it uses less digits than its factorization.

107046912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 107046912 is about 10346.3477614084. The cubic root of 107046912 is about 474.8153106546.

The spelling of 107046912 in words is "one hundred seven million, forty-six thousand, nine hundred twelve".