107384940 has 120 divisors (see below), whose sum is σ = 362854800. Its totient is φ = 26428032.

The previous prime is 107384939. The next prime is 107384951. The reversal of 107384940 is 49483701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107384895 and 107384904.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18511 + ... + 23609.

It is an arithmetic number, because the mean of its divisors is an integer number (3023790).

Almost surely, 2^107384940 is an apocalyptic number.

107384940 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 107384940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181427400).

107384940 is an abundant number, since it is smaller than the sum of its proper divisors (255469860).

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

107384940 is a wasteful number, since it uses less digits than its factorization.

107384940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5133 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 107384940 is about 10362.6705052317. The cubic root of 107384940 is about 475.3145691004.

The spelling of 107384940 in words is "one hundred seven million, three hundred eighty-four thousand, nine hundred forty".