107721900 has 432 divisors, whose sum is σ = 424639488. Its totient is φ = 23328000.

The previous prime is 107721881. The next prime is 107721937. The reversal of 107721900 is 9127701.

It is a super-2 number, since 2×107721900² = 23208015479220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3474885 + ... + 3474915.

Almost surely, 2^107721900 is an apocalyptic number.

107721900 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 107721900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212319744).

107721900 is an abundant number, since it is smaller than the sum of its proper divisors (316917588).

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

107721900 is a wasteful number, since it uses less digits than its factorization.

107721900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 107721900 is about 10378.9161283826. The cubic root of 107721900 is about 475.8112084681.

The spelling of 107721900 in words is "one hundred seven million, seven hundred twenty-one thousand, nine hundred".