107670720 has 112 divisors (see below), whose sum is σ = 359907840. Its totient is φ = 27196416.

The previous prime is 107670709. The next prime is 107670721. The reversal of 107670720 is 27076701.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (107670721) by changing a digit.

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, 15289 + ... + 21191.

Almost surely, 2^107670720 is an apocalyptic number.

107670720 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 107670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179953920).

107670720 is an abundant number, since it is smaller than the sum of its proper divisors (252237120).

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

107670720 is a wasteful number, since it uses less digits than its factorization.

107670720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 107670720 is about 10376.4502600841. The cubic root of 107670720 is about 475.7358419446.

The spelling of 107670720 in words is "one hundred seven million, six hundred seventy thousand, seven hundred twenty".