107083700 has 36 divisors (see below), whose sum is σ = 235570860. Its totient is φ = 42243840.

The previous prime is 107083693. The next prime is 107083709. The reversal of 107083700 is 7380701.

It can be written as a sum of positive squares in 6 ways, for example, as 126736 + 106956964 = 356^2 + 10342^2 .

It is a super-2 number, since 2×107083700² = 22933837611380000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107083700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107083709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35 + ... + 14634.

It is an arithmetic number, because the mean of its divisors is an integer number (6543635).

Almost surely, 2^107083700 is an apocalyptic number.

107083700 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 107083700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117785430).

107083700 is an abundant number, since it is smaller than the sum of its proper divisors (128487160).

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

107083700 is a wasteful number, since it uses less digits than its factorization.

107083700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14756 (or 14749 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 107083700 is about 10348.1254341064. The cubic root of 107083700 is about 474.8696964833.

The spelling of 107083700 in words is "one hundred seven million, eighty-three thousand, seven hundred".