107753820 has 96 divisors (see below), whose sum is σ = 322056000. Its totient is φ = 26824704.

The previous prime is 107753809. The next prime is 107753839. The reversal of 107753820 is 28357701.

It is a super-2 number, since 2×107753820² = 23221771449184800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151626 + ... + 152334.

It is an arithmetic number, because the mean of its divisors is an integer number (3354750).

Almost surely, 2^107753820 is an apocalyptic number.

107753820 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 107753820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161028000).

107753820 is an abundant number, since it is smaller than the sum of its proper divisors (214302180).

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

107753820 is a wasteful number, since it uses less digits than its factorization.

107753820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 107753820 is about 10380.4537473080. The cubic root of 107753820 is about 475.8582010600.

The spelling of 107753820 in words is "one hundred seven million, seven hundred fifty-three thousand, eight hundred twenty".