107338644 has 72 divisors (see below), whose sum is σ = 311508288. Its totient is φ = 30528000.

The previous prime is 107338639. The next prime is 107338667. The reversal of 107338644 is 446833701.

107338644 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 3 + 8 + 644 = 666.

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 = 107338599 and 107338608.

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, 62404 + ... + 64100.

It is an arithmetic number, because the mean of its divisors is an integer number (4326504).

Almost surely, 2^107338644 is an apocalyptic number.

107338644 is a gapful number since it is divisible by the number (14) 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 107338644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155754144).

107338644 is an abundant number, since it is smaller than the sum of its proper divisors (204169644).

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

107338644 is a wasteful number, since it uses less digits than its factorization.

107338644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 107338644 is about 10360.4364772919. The cubic root of 107338644 is about 475.2462531076.

The spelling of 107338644 in words is "one hundred seven million, three hundred thirty-eight thousand, six hundred forty-four".