112945950 has 144 divisors (see below), whose sum is σ = 335134800. Its totient is φ = 27095040.

The previous prime is 112945913. The next prime is 112945997. The reversal of 112945950 is 59549211.

112945950 = 420² + 421² + ... + 744².

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 251326 + ... + 251774.

It is an arithmetic number, because the mean of its divisors is an integer number (2327325).

Almost surely, 2^112945950 is an apocalyptic number.

112945950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112945950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167567400).

112945950 is an abundant number, since it is smaller than the sum of its proper divisors (222188850).

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

112945950 is a wasteful number, since it uses less digits than its factorization.

112945950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 112945950 is about 10627.6032105080. The cubic root of 112945950 is about 483.3817179730.

The spelling of 112945950 in words is "one hundred twelve million, nine hundred forty-five thousand, nine hundred fifty".