107005580 has 24 divisors (see below), whose sum is σ = 245140560. Its totient is φ = 38911040.

The previous prime is 107005553. The next prime is 107005607. The reversal of 107005580 is 85500701.

It is an interprime number because it is at equal distance from previous prime (107005553) and next prime (107005607).

It is a super-3 number, since 3×107005580³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242975 + ... + 243414.

It is an arithmetic number, because the mean of its divisors is an integer number (10214190).

Almost surely, 2^107005580 is an apocalyptic number.

107005580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107005580 is an abundant number, since it is smaller than the sum of its proper divisors (138134980).

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

107005580 is a wasteful number, since it uses less digits than its factorization.

107005580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486409 (or 486407 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 26.

The square root of 107005580 is about 10344.3501487527. The cubic root of 107005580 is about 474.7541923019.

The spelling of 107005580 in words is "one hundred seven million, five thousand, five hundred eighty".