112729905 has 12 divisors (see below), whose sum is σ = 195398580. Its totient is φ = 60122592.

The previous prime is 112729889. The next prime is 112729987. The reversal of 112729905 is 509927211.

It can be written as a sum of positive squares in 2 ways, for example, as 41563809 + 71166096 = 6447^2 + 8436^2 .

It is not a de Polignac number, because 112729905 - 2⁴ = 112729889 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 112729905.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1252510 + ... + 1252599.

It is an arithmetic number, because the mean of its divisors is an integer number (16283215).

Almost surely, 2^112729905 is an apocalyptic number.

112729905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112729905 is a deficient number, since it is larger than the sum of its proper divisors (82668675).

112729905 is a wasteful number, since it uses less digits than its factorization.

112729905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505120 (or 2505117 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 112729905 is about 10617.4340120389. The cubic root of 112729905 is about 483.0733142315.

The spelling of 112729905 in words is "one hundred twelve million, seven hundred twenty-nine thousand, nine hundred five".