109401600 has 480 divisors, whose sum is σ = 462756096. Its totient is φ = 22118400.

The previous prime is 109401587. The next prime is 109401667. The reversal of 109401600 is 6104901.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2956782 + ... + 2956818.

Almost surely, 2^109401600 is an apocalyptic number.

109401600 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 109401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231378048).

109401600 is an abundant number, since it is smaller than the sum of its proper divisors (353354496).

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

109401600 is a wasteful number, since it uses less digits than its factorization.

109401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 65 counting only the distinct ones).

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

The square root of 109401600 is about 10459.5219776049. The cubic root of 109401600 is about 478.2715612893.

The spelling of 109401600 in words is "one hundred nine million, four hundred one thousand, six hundred".