109058400 has 504 divisors, whose sum is σ = 461079864. Its totient is φ = 24883200.

The previous prime is 109058399. The next prime is 109058407. The reversal of 109058400 is 4850901.

It is a super-2 number, since 2×109058400² = 23787469221120000, 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 not an unprimeable number, because it can be changed into a prime (109058407) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 6415192 + ... + 6415208.

It is an arithmetic number, because the mean of its divisors is an integer number (914841).

Almost surely, 2^109058400 is an apocalyptic number.

109058400 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 109058400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230539932).

109058400 is an abundant number, since it is smaller than the sum of its proper divisors (352021464).

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

109058400 is a wasteful number, since it uses less digits than its factorization.

109058400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 109058400 is about 10443.1029871394. The cubic root of 109058400 is about 477.7709143096.

The spelling of 109058400 in words is "one hundred nine million, fifty-eight thousand, four hundred".