107940672 has 168 divisors, whose sum is σ = 372465600. Its totient is φ = 29196288.

The previous prime is 107940649. The next prime is 107940673. The reversal of 107940672 is 276049701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×107940672³ (a number of 25 digits) contains 333 as substring.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107940673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75904 + ... + 77312.

Almost surely, 2^107940672 is an apocalyptic number.

107940672 is a gapful number since it is divisible by the number (12) 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 107940672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186232800).

107940672 is an abundant number, since it is smaller than the sum of its proper divisors (264524928).

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

107940672 is a wasteful number, since it uses less digits than its factorization.

107940672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1440 counting only the distinct ones).

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

The square root of 107940672 is about 10389.4500335677. The cubic root of 107940672 is about 476.1330983869.

The spelling of 107940672 in words is "one hundred seven million, nine hundred forty thousand, six hundred seventy-two".