107148720 has 320 divisors, whose sum is σ = 411402240. Its totient is φ = 22539264.

The previous prime is 107148709. The next prime is 107148749. The reversal of 107148720 is 27841701.

It is a super-2 number, since 2×107148720² = 22961696395276800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1816051 + ... + 1816109.

It is an arithmetic number, because the mean of its divisors is an integer number (1285632).

Almost surely, 2^107148720 is an apocalyptic number.

107148720 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 107148720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205701120).

107148720 is an abundant number, since it is smaller than the sum of its proper divisors (304253520).

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

107148720 is a wasteful number, since it uses less digits than its factorization.

107148720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 107148720 is about 10351.2665891668. The cubic root of 107148720 is about 474.9657888565.

The spelling of 107148720 in words is "one hundred seven million, one hundred forty-eight thousand, seven hundred twenty".