107146480 has 80 divisors (see below), whose sum is σ = 288713664. Its totient is φ = 36218880.

The previous prime is 107146451. The next prime is 107146499. The reversal of 107146480 is 84641701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×107146480² = 22960736352780800, which contains 22 as substring.

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, 39570 + ... + 42190.

Almost surely, 2^107146480 is an apocalyptic number.

107146480 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 107146480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144356832).

107146480 is an abundant number, since it is smaller than the sum of its proper divisors (181567184).

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

107146480 is a wasteful number, since it uses less digits than its factorization.

107146480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 107146480 is about 10351.1583892818. The cubic root of 107146480 is about 474.9624790307.

The spelling of 107146480 in words is "one hundred seven million, one hundred forty-six thousand, four hundred eighty".