107761290 has 96 divisors (see below), whose sum is σ = 324051840. Its totient is φ = 22732416.

The previous prime is 107761273. The next prime is 107761309. The reversal of 107761290 is 92167701.

It is a super-2 number, since 2×107761290² = 23224991244928200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 16291 + ... + 21929.

It is an arithmetic number, because the mean of its divisors is an integer number (3375540).

Almost surely, 2^107761290 is an apocalyptic number.

107761290 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 107761290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162025920).

107761290 is an abundant number, since it is smaller than the sum of its proper divisors (216290550).

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

107761290 is a wasteful number, since it uses less digits than its factorization.

107761290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5676 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 107761290 is about 10380.8135519332. The cubic root of 107761290 is about 475.8691970465.

The spelling of 107761290 in words is "one hundred seven million, seven hundred sixty-one thousand, two hundred ninety".