107144856 has 320 divisors, whose sum is σ = 390297600. Its totient is φ = 26687232.

The previous prime is 107144839. The next prime is 107144867. The reversal of 107144856 is 658441701.

It is a happy number.

It is a super-2 number, since 2×107144856² = 22960040334521472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 107144856.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1356225 + ... + 1356303.

It is an arithmetic number, because the mean of its divisors is an integer number (1219680).

Almost surely, 2^107144856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107144856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195148800).

107144856 is an abundant number, since it is smaller than the sum of its proper divisors (283152744).

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

107144856 is a wasteful number, since it uses less digits than its factorization.

107144856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 107144856 is about 10351.0799436581. The cubic root of 107144856 is about 474.9600793782.

The spelling of 107144856 in words is "one hundred seven million, one hundred forty-four thousand, eight hundred fifty-six".