107613090 has 256 divisors, whose sum is σ = 340623360. Its totient is φ = 23950080.

The previous prime is 107613053. The next prime is 107613097. The reversal of 107613090 is 90316701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (107613097) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2502609 + ... + 2502651.

It is an arithmetic number, because the mean of its divisors is an integer number (1330560).

Almost surely, 2^107613090 is an apocalyptic number.

107613090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107613090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170311680).

107613090 is an abundant number, since it is smaller than the sum of its proper divisors (233010270).

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

107613090 is a wasteful number, since it uses less digits than its factorization.

107613090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 107613090 is about 10373.6729271748. The cubic root of 107613090 is about 475.6509487024.

Adding to 107613090 its reverse (90316701), we get a palindrome (197929791).

The spelling of 107613090 in words is "one hundred seven million, six hundred thirteen thousand, ninety".