109106400 has 216 divisors, whose sum is σ = 385990920. Its totient is φ = 26757120.

The previous prime is 109106353. The next prime is 109106401. The reversal of 109106400 is 4601901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109106401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 405466 + ... + 405734.

It is an arithmetic number, because the mean of its divisors is an integer number (1786995).

Almost surely, 2^109106400 is an apocalyptic number.

109106400 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 109106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192995460).

109106400 is an abundant number, since it is smaller than the sum of its proper divisors (276884520).

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

109106400 is a wasteful number, since it uses less digits than its factorization.

109106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 109106400 is about 10445.4009018323. The cubic root of 109106400 is about 477.8409979840.

The spelling of 109106400 in words is "one hundred nine million, one hundred six thousand, four hundred".