110972957 has 8 divisors (see below), whose sum is σ = 117660600. Its totient is φ = 104303104.

The previous prime is 110972941. The next prime is 110972987. The reversal of 110972957 is 759279011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15832441 + 95140516 = 3979^2 + 9754^2 .

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 110972957 - 2⁴ = 110972941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110972987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9719 + ... + 17787.

It is an arithmetic number, because the mean of its divisors is an integer number (14707575).

Almost surely, 2^110972957 is an apocalyptic number.

110972957 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

110972957 is a deficient number, since it is larger than the sum of its proper divisors (6687643).

110972957 is an equidigital number, since it uses as much as digits as its factorization.

110972957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8895.

The product of its (nonzero) digits is 39690, while the sum is 41.

The square root of 110972957 is about 10534.3702706901. The cubic root of 110972957 is about 480.5505214219.

The spelling of 110972957 in words is "one hundred ten million, nine hundred seventy-two thousand, nine hundred fifty-seven".