107667720 has 96 divisors (see below), whose sum is σ = 362021400. Its totient is φ = 27718656.

The previous prime is 107667719. The next prime is 107667767. The reversal of 107667720 is 27766701.

It can be written as a sum of positive squares in 4 ways, for example, as 83283876 + 24383844 = 9126^2 + 4938^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5284 + ... + 15596.

Almost surely, 2^107667720 is an apocalyptic number.

107667720 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 107667720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181010700).

107667720 is an abundant number, since it is smaller than the sum of its proper divisors (254353680).

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

107667720 is a wasteful number, since it uses less digits than its factorization.

107667720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10359 (or 10352 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 107667720 is about 10376.3057009708. The cubic root of 107667720 is about 475.7314234708.

The spelling of 107667720 in words is "one hundred seven million, six hundred sixty-seven thousand, seven hundred twenty".