107949380 has 96 divisors (see below), whose sum is σ = 284884992. Its totient is φ = 33379200.

The previous prime is 107949377. The next prime is 107949383. The reversal of 107949380 is 83949701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (107949377) and next prime (107949383).

It is not an unprimeable number, because it can be changed into a prime (107949383) 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, 293957 + ... + 294323.

It is an arithmetic number, because the mean of its divisors is an integer number (2967552).

Almost surely, 2^107949380 is an apocalyptic number.

107949380 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 107949380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142442496).

107949380 is an abundant number, since it is smaller than the sum of its proper divisors (176935612).

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

107949380 is a wasteful number, since it uses less digits than its factorization.

107949380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 107949380 is about 10389.8691040840. The cubic root of 107949380 is about 476.1459018880.

The spelling of 107949380 in words is "one hundred seven million, nine hundred forty-nine thousand, three hundred eighty".