107357712 has 160 divisors (see below), whose sum is σ = 357310464. Its totient is φ = 26956800.

The previous prime is 107357687. The next prime is 107357717. The reversal of 107357712 is 217753701.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (107357717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114108 + ... + 115044.

Almost surely, 2^107357712 is an apocalyptic number.

107357712 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 107357712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178655232).

107357712 is an abundant number, since it is smaller than the sum of its proper divisors (249952752).

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

107357712 is a wasteful number, since it uses less digits than its factorization.

107357712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 10290, while the sum is 33.

The square root of 107357712 is about 10361.3566679272. The cubic root of 107357712 is about 475.2743928924.

It can be divided in two parts, 1073 and 57712, that added together give a palindrome (58785).

The spelling of 107357712 in words is "one hundred seven million, three hundred fifty-seven thousand, seven hundred twelve".