109706400 has 180 divisors, whose sum is σ = 400314222. Its totient is φ = 29237760.

The previous prime is 109706383. The next prime is 109706407. The reversal of 109706400 is 4607901.

109706400 is a `hidden beast` number, since 10 + 9 + 7 + 0 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 75272976 + 34433424 = 8676^2 + 5868^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (109706407) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 63954 + ... + 65646.

Almost surely, 2^109706400 is an apocalyptic number.

109706400 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 109706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200157111).

109706400 is an abundant number, since it is smaller than the sum of its proper divisors (290607822).

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

109706400 is a wasteful number, since it uses less digits than its factorization.

109706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 109706400 is about 10474.0822987028. The cubic root of 109706400 is about 478.7153147002.

The spelling of 109706400 in words is "one hundred nine million, seven hundred six thousand, four hundred".