107733240 has 160 divisors (see below), whose sum is σ = 371392560. Its totient is φ = 27993600.

The previous prime is 107733239. The next prime is 107733247. The reversal of 107733240 is 42337701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107733247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 132435 + ... + 133245.

Almost surely, 2^107733240 is an apocalyptic number.

107733240 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 107733240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185696280).

107733240 is an abundant number, since it is smaller than the sum of its proper divisors (263659320).

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

107733240 is a wasteful number, since it uses less digits than its factorization.

107733240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 107733240 is about 10379.4624138247. The cubic root of 107733240 is about 475.8279042677.

The spelling of 107733240 in words is "one hundred seven million, seven hundred thirty-three thousand, two hundred forty".