107012256 has 96 divisors (see below), whose sum is σ = 318507840. Its totient is φ = 31186944.

The previous prime is 107012249. The next prime is 107012267. The reversal of 107012256 is 652210701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×107012256² = 22903245868419072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21456 + ... + 25968.

It is an arithmetic number, because the mean of its divisors is an integer number (3317790).

Almost surely, 2^107012256 is an apocalyptic number.

107012256 is a gapful number since it is divisible by the number (16) 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 107012256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159253920).

107012256 is an abundant number, since it is smaller than the sum of its proper divisors (211495584).

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

107012256 is a wasteful number, since it uses less digits than its factorization.

107012256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4558 (or 4550 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 107012256 is about 10344.6728319459. The cubic root of 107012256 is about 474.7640652857.

Adding to 107012256 its reverse (652210701), we get a palindrome (759222957).

The spelling of 107012256 in words is "one hundred seven million, twelve thousand, two hundred fifty-six".