109228532400 has 600 divisors, whose sum is σ = 424890774000. Its totient is φ = 26713774080.

The previous prime is 109228532381. The next prime is 109228532407. The reversal of 109228532400 is 4235822901.

It is a happy number.

109228532400 is a `hidden beast` number, since 10 + 92 + 28 + 532 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is not an unprimeable number, because it can be changed into a prime (109228532407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 72866851 + ... + 72868349.

It is an arithmetic number, because the mean of its divisors is an integer number (708151290).

Almost surely, 2^109228532400 is an apocalyptic number.

109228532400 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 109228532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212445387000).

109228532400 is an abundant number, since it is smaller than the sum of its proper divisors (315662241600).

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

109228532400 is a wasteful number, since it uses less digits than its factorization.

109228532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 109228532400 in words is "one hundred nine billion, two hundred twenty-eight million, five hundred thirty-two thousand, four hundred".