107661312 has 240 divisors, whose sum is σ = 356756400. Its totient is φ = 32071680.

The previous prime is 107661299. The next prime is 107661317. The reversal of 107661312 is 213166701.

It is a super-2 number, since 2×107661312² = 23181916203122688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (107661317) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1824739 + ... + 1824797.

It is an arithmetic number, because the mean of its divisors is an integer number (1486485).

Almost surely, 2^107661312 is an apocalyptic number.

107661312 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 107661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178378200).

107661312 is an abundant number, since it is smaller than the sum of its proper divisors (249095088).

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

107661312 is an equidigital number, since it uses as much as digits as its factorization.

107661312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 107661312 is about 10375.9969159594. The cubic root of 107661312 is about 475.7219853357.

The spelling of 107661312 in words is "one hundred seven million, six hundred sixty-one thousand, three hundred twelve".