109879367400 has 1920 divisors, whose sum is σ = 490018636800. Its totient is φ = 22444646400.

The previous prime is 109879367369. The next prime is 109879367441. The reversal of 109879367400 is 4763978901.

It is a happy number.

109879367400 is a `hidden beast` number, since 1 + 0 + 98 + 7 + 93 + 67 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 1323847759 + ... + 1323847841.

It is an arithmetic number, because the mean of its divisors is an integer number (255218040).

Almost surely, 2^109879367400 is an apocalyptic number.

109879367400 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 109879367400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245009318400).

109879367400 is an abundant number, since it is smaller than the sum of its proper divisors (380139269400).

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

109879367400 is a wasteful number, since it uses less digits than its factorization.

109879367400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 109879367400 in words is "one hundred nine billion, eight hundred seventy-nine million, three hundred sixty-seven thousand, four hundred".