109796400 has 180 divisors, whose sum is σ = 435555952. Its totient is φ = 25090560.

The previous prime is 109796381. The next prime is 109796419. The reversal of 109796400 is 4697901.

109796400 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 9 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (109796381) and next prime (109796419).

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23022 + ... + 27378.

Almost surely, 2^109796400 is an apocalyptic number.

109796400 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 109796400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217777976).

109796400 is an abundant number, since it is smaller than the sum of its proper divisors (325759552).

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

109796400 is a wasteful number, since it uses less digits than its factorization.

109796400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 109796400 is about 10478.3777370354. The cubic root of 109796400 is about 478.8461870466.

The spelling of 109796400 in words is "one hundred nine million, seven hundred ninety-six thousand, four hundred".