107752200 has 96 divisors (see below), whose sum is σ = 341228160. Its totient is φ = 28115200.

The previous prime is 107752199. The next prime is 107752213. The reversal of 107752200 is 2257701.

It is a super-2 number, since 2×107752200² = 23221073209680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26290 + ... + 30110.

It is an arithmetic number, because the mean of its divisors is an integer number (3554460).

Almost surely, 2^107752200 is an apocalyptic number.

107752200 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 107752200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170614080).

107752200 is an abundant number, since it is smaller than the sum of its proper divisors (233475960).

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

107752200 is a wasteful number, since it uses less digits than its factorization.

107752200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 107752200 is about 10380.3757157436. The cubic root of 107752200 is about 475.8558163212.

The spelling of 107752200 in words is "one hundred seven million, seven hundred fifty-two thousand, two hundred".