107442720 has 768 divisors, whose sum is σ = 522547200. Its totient is φ = 19906560.

The previous prime is 107442707. The next prime is 107442721. The reversal of 107442720 is 27244701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107442721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5654871 + ... + 5654889.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 2^107442720 is an apocalyptic number.

107442720 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 107442720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261273600).

107442720 is an abundant number, since it is smaller than the sum of its proper divisors (415104480).

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

107442720 is a wasteful number, since it uses less digits than its factorization.

107442720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 107442720 is about 10365.4580217181. The cubic root of 107442720 is about 475.3998037448.

The spelling of 107442720 in words is "one hundred seven million, four hundred forty-two thousand, seven hundred twenty".