107406720 has 192 divisors, whose sum is σ = 384274800. Its totient is φ = 27611136.

The previous prime is 107406701. The next prime is 107406737. The reversal of 107406720 is 27604701.

107406720 = T₈₁ + T₈₂ + ... + T₈₆₃.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×107406720³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166719 + ... + 167361.

Almost surely, 2^107406720 is an apocalyptic number.

107406720 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 107406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192137400).

107406720 is an abundant number, since it is smaller than the sum of its proper divisors (276868080).

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

107406720 is a wasteful number, since it uses less digits than its factorization.

107406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 107406720 is about 10363.7213393645. The cubic root of 107406720 is about 475.3467016368.

The spelling of 107406720 in words is "one hundred seven million, four hundred six thousand, seven hundred twenty".