112829058 has 64 divisors (see below), whose sum is σ = 259920000. Its totient is φ = 36251712.

The previous prime is 112829027. The next prime is 112829069. The reversal of 112829058 is 850928211.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297513 + ... + 297891.

It is an arithmetic number, because the mean of its divisors is an integer number (4061250).

Almost surely, 2^112829058 is an apocalyptic number.

112829058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112829058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129960000).

112829058 is an abundant number, since it is smaller than the sum of its proper divisors (147090942).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112829058 is a wasteful number, since it uses less digits than its factorization.

112829058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 112829058 is about 10622.1023342839. The cubic root of 112829058 is about 483.2149037888.

The spelling of 112829058 in words is "one hundred twelve million, eight hundred twenty-nine thousand, fifty-eight".