107080512 has 112 divisors (see below), whose sum is σ = 353275392. Its totient is φ = 27809280.

The previous prime is 107080487. The next prime is 107080537. The reversal of 107080512 is 215080701.

It is an interprime number because it is at equal distance from previous prime (107080487) and next prime (107080537).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×107080512³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11163 + ... + 18405.

Almost surely, 2^107080512 is an apocalyptic number.

107080512 is a gapful number since it is divisible by the number (12) 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 107080512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176637696).

107080512 is an abundant number, since it is smaller than the sum of its proper divisors (246194880).

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

107080512 is a wasteful number, since it uses less digits than its factorization.

107080512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7276 (or 7266 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 107080512 is about 10347.9713953992. The cubic root of 107080512 is about 474.8649839714.

The spelling of 107080512 in words is "one hundred seven million, eighty thousand, five hundred twelve".