107105700 has 144 divisors (see below), whose sum is σ = 345602880. Its totient is φ = 25428480.

The previous prime is 107105681. The next prime is 107105707. The reversal of 107105700 is 7501701.

It is a super-2 number, since 2×107105700² = 22943261944980000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107105707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112627 + ... + 113573.

It is an arithmetic number, because the mean of its divisors is an integer number (2400020).

Almost surely, 2^107105700 is an apocalyptic number.

107105700 is a gapful number since it is divisible by the number (10) 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 107105700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172801440).

107105700 is an abundant number, since it is smaller than the sum of its proper divisors (238497180).

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

107105700 is a wasteful number, since it uses less digits than its factorization.

107105700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 245, while the sum is 21.

The square root of 107105700 is about 10349.1883739741. The cubic root of 107105700 is about 474.9022144045.

The spelling of 107105700 in words is "one hundred seven million, one hundred five thousand, seven hundred".