107770400 has 72 divisors (see below), whose sum is σ = 265764240. Its totient is φ = 42671360.

The previous prime is 107770393. The next prime is 107770441. The reversal of 107770400 is 4077701.

It is a super-2 number, since 2×107770400² = 23228918232320000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107770400.

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 11 ways as a sum of consecutive naturals, for example, 84971 + ... + 86229.

It is an arithmetic number, because the mean of its divisors is an integer number (3691170).

Almost surely, 2^107770400 is an apocalyptic number.

107770400 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 107770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132882120).

107770400 is an abundant number, since it is smaller than the sum of its proper divisors (157993840).

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

107770400 is a wasteful number, since it uses less digits than its factorization.

107770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 26.

The square root of 107770400 is about 10381.2523329317. The cubic root of 107770400 is about 475.8826064573.

The spelling of 107770400 in words is "one hundred seven million, seven hundred seventy thousand, four hundred".