107149312 has 48 divisors (see below), whose sum is σ = 216609120. Its totient is φ = 52985856.

The previous prime is 107149309. The next prime is 107149313. The reversal of 107149312 is 213941701.

It is a super-2 number, since 2×107149312² = 22961950124146688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107149313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 231193 + ... + 231655.

It is an arithmetic number, because the mean of its divisors is an integer number (4512690).

Almost surely, 2^107149312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107149312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108304560).

107149312 is an abundant number, since it is smaller than the sum of its proper divisors (109459808).

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

107149312 is an equidigital number, since it uses as much as digits as its factorization.

107149312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 107149312 is about 10351.2951846617. The cubic root of 107149312 is about 474.9666635884.

The spelling of 107149312 in words is "one hundred seven million, one hundred forty-nine thousand, three hundred twelve".