107144760 has 64 divisors (see below), whose sum is σ = 323275680. Its totient is φ = 28408320.

The previous prime is 107144753. The next prime is 107144803. The reversal of 107144760 is 67441701.

It is a super-2 number, since 2×107144760² = 22959999190915200, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19254 + ... + 24186.

Almost surely, 2^107144760 is an apocalyptic number.

107144760 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 107144760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161637840).

107144760 is an abundant number, since it is smaller than the sum of its proper divisors (216130920).

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

107144760 is a wasteful number, since it uses less digits than its factorization.

107144760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 107144760 is about 10351.0753064597. The cubic root of 107144760 is about 474.9599375260.

The spelling of 107144760 in words is "one hundred seven million, one hundred forty-four thousand, seven hundred sixty".