112299264 has 288 divisors, whose sum is σ = 415994880. Its totient is φ = 29030400.

The previous prime is 112299251. The next prime is 112299289. The reversal of 112299264 is 462992211.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×112299264² = 25222249389883392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 532119 + ... + 532329.

Almost surely, 2^112299264 is an apocalyptic number.

112299264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112299264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207997440).

112299264 is an abundant number, since it is smaller than the sum of its proper divisors (303695616).

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

112299264 is a wasteful number, since it uses less digits than its factorization.

112299264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 234 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 112299264 is about 10597.1347070800. The cubic root of 112299264 is about 482.4573976900.

The spelling of 112299264 in words is "one hundred twelve million, two hundred ninety-nine thousand, two hundred sixty-four".