107859136 has 112 divisors (see below), whose sum is σ = 273588480. Its totient is φ = 40965120.

The previous prime is 107859133. The next prime is 107859173. The reversal of 107859136 is 631958701.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (107859133) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 211650 + ... + 212158.

Almost surely, 2^107859136 is an apocalyptic number.

107859136 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 107859136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136794240).

107859136 is an abundant number, since it is smaller than the sum of its proper divisors (165729344).

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

107859136 is a wasteful number, since it uses less digits than its factorization.

107859136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 107859136 is about 10385.5253117019. The cubic root of 107859136 is about 476.0131813783.

The spelling of 107859136 in words is "one hundred seven million, eight hundred fifty-nine thousand, one hundred thirty-six".