112406057 has 16 divisors (see below), whose sum is σ = 122996880. Its totient is φ = 102316032.

The previous prime is 112406029. The next prime is 112406069. The reversal of 112406057 is 750604211.

It can be written as a sum of positive squares in 8 ways, for example, as 1819801 + 110586256 = 1349^2 + 10516^2 .

It is a cyclic number.

It is not a de Polignac number, because 112406057 - 2⁸ = 112405801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112406017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64919 + ... + 66627.

It is an arithmetic number, because the mean of its divisors is an integer number (7687305).

Almost surely, 2^112406057 is an apocalyptic number.

112406057 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

112406057 is a deficient number, since it is larger than the sum of its proper divisors (10590823).

112406057 is a wasteful number, since it uses less digits than its factorization.

112406057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 112406057 is about 10602.1722774156. The cubic root of 112406057 is about 482.6102830768.

The spelling of 112406057 in words is "one hundred twelve million, four hundred six thousand, fifty-seven".