107312353 has 8 divisors (see below), whose sum is σ = 108642600. Its totient is φ = 105988608.

The previous prime is 107312341. The next prime is 107312357. The reversal of 107312353 is 353213701.

It can be written as a sum of positive squares in 4 ways, for example, as 25735329 + 81577024 = 5073^2 + 9032^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 107312353 - 2¹⁷ = 107181281 is a prime.

It is a super-2 number, since 2×107312353² = 23031882212793218, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107312357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37083 + ... + 39871.

It is an arithmetic number, because the mean of its divisors is an integer number (13580325).

Almost surely, 2^107312353 is an apocalyptic number.

It is an amenable number.

107312353 is a deficient number, since it is larger than the sum of its proper divisors (1330247).

107312353 is a wasteful number, since it uses less digits than its factorization.

107312353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251.

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 107312353 is about 10359.1675823881. The cubic root of 107312353 is about 475.2074484453.

The spelling of 107312353 in words is "one hundred seven million, three hundred twelve thousand, three hundred fifty-three".