112100193 has 20 divisors (see below), whose sum is σ = 177310980. Its totient is φ = 70336512.

The previous prime is 112100189. The next prime is 112100201. The reversal of 112100193 is 391001211.

It can be written as a sum of positive squares in 2 ways, for example, as 64448784 + 47651409 = 8028^2 + 6903^2 .

It is not a de Polignac number, because 112100193 - 2² = 112100189 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112100143) 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 19 ways as a sum of consecutive naturals, for example, 39328 + ... + 42081.

It is an arithmetic number, because the mean of its divisors is an integer number (8865549).

Almost surely, 2^112100193 is an apocalyptic number.

It is an amenable number.

112100193 is a deficient number, since it is larger than the sum of its proper divisors (65210787).

112100193 is an equidigital number, since it uses as much as digits as its factorization.

112100193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81438 (or 81429 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 112100193 is about 10587.7378603741. The cubic root of 112100193 is about 482.1721477232.

The spelling of 112100193 in words is "one hundred twelve million, one hundred thousand, one hundred ninety-three".