107105460 has 192 divisors, whose sum is σ = 379330560. Its totient is φ = 21934080.

The previous prime is 107105443. The next prime is 107105501. The reversal of 107105460 is 64501701.

It is a super-2 number, since 2×107105460² = 22943159123623200, 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 107105460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 448021 + ... + 448259.

It is an arithmetic number, because the mean of its divisors is an integer number (1975680).

Almost surely, 2^107105460 is an apocalyptic number.

107105460 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 107105460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189665280).

107105460 is an abundant number, since it is smaller than the sum of its proper divisors (272225100).

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

107105460 is a wasteful number, since it uses less digits than its factorization.

107105460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 107105460 is about 10349.1767788554. The cubic root of 107105460 is about 474.9018596876.

The spelling of 107105460 in words is "one hundred seven million, one hundred five thousand, four hundred sixty".