107905380 has 144 divisors (see below), whose sum is σ = 337841280. Its totient is φ = 25710080.

The previous prime is 107905379. The next prime is 107905429. The reversal of 107905380 is 83509701.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 646057 + ... + 646223.

It is an arithmetic number, because the mean of its divisors is an integer number (2346120).

Almost surely, 2^107905380 is an apocalyptic number.

107905380 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 107905380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168920640).

107905380 is an abundant number, since it is smaller than the sum of its proper divisors (229935900).

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

107905380 is a wasteful number, since it uses less digits than its factorization.

107905380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 107905380 is about 10387.7514410001. The cubic root of 107905380 is about 476.0812009860.

The spelling of 107905380 in words is "one hundred seven million, nine hundred five thousand, three hundred eighty".