107967240 has 48 divisors (see below), whose sum is σ = 350894700. Its totient is φ = 28791168.

The previous prime is 107967239. The next prime is 107967241. The reversal of 107967240 is 42769701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (107967239) and next prime (107967241).

It can be written as a sum of positive squares in 2 ways, for example, as 106626276 + 1340964 = 10326^2 + 1158^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 107967195 and 107967204.

It is not an unprimeable number, because it can be changed into a prime (107967241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149595 + ... + 150314.

Almost surely, 2^107967240 is an apocalyptic number.

107967240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107967240 is an abundant number, since it is smaller than the sum of its proper divisors (242927460).

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

107967240 is a wasteful number, since it uses less digits than its factorization.

107967240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299926 (or 299919 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 107967240 is about 10390.7285596343. The cubic root of 107967240 is about 476.1721595558.

The spelling of 107967240 in words is "one hundred seven million, nine hundred sixty-seven thousand, two hundred forty".