107404770 has 64 divisors (see below), whose sum is σ = 290304000. Its totient is φ = 25195200.

The previous prime is 107404751. The next prime is 107404771. The reversal of 107404770 is 77404701.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (107404771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4981 + ... + 15479.

It is an arithmetic number, because the mean of its divisors is an integer number (4536000).

Almost surely, 2^107404770 is an apocalyptic number.

107404770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107404770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

107404770 is an abundant number, since it is smaller than the sum of its proper divisors (182899230).

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

107404770 is a wasteful number, since it uses less digits than its factorization.

107404770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10551.

The product of its (nonzero) digits is 5488, while the sum is 30.

The square root of 107404770 is about 10363.6272607616. The cubic root of 107404770 is about 475.3438249339.

The spelling of 107404770 in words is "one hundred seven million, four hundred four thousand, seven hundred seventy".