109523210400 has 576 divisors, whose sum is σ = 408180124800. Its totient is φ = 28684108800.

The previous prime is 109523210339. The next prime is 109523210411. The reversal of 109523210400 is 4012325901.

109523210400 is a `hidden beast` number, since 10 + 9 + 5 + 232 + 10 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103225870 + ... + 103226930.

It is an arithmetic number, because the mean of its divisors is an integer number (708646050).

Almost surely, 2^109523210400 is an apocalyptic number.

109523210400 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 109523210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204090062400).

109523210400 is an abundant number, since it is smaller than the sum of its proper divisors (298656914400).

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

109523210400 is an equidigital number, since it uses as much as digits as its factorization.

109523210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 109523210400 in words is "one hundred nine billion, five hundred twenty-three million, two hundred ten thousand, four hundred".