111451104 has 72 divisors (see below), whose sum is σ = 325536120. Its totient is φ = 36142848.

The previous prime is 111451097. The next prime is 111451111. The reversal of 111451104 is 401154111.

111451104 is a `hidden beast` number, since 111 + 451 + 104 = 666.

It is an interprime number because it is at equal distance from previous prime (111451097) and next prime (111451111).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5427 + ... + 15885.

It is an arithmetic number, because the mean of its divisors is an integer number (4521335).

Almost surely, 2^111451104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111451104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162768060).

111451104 is an abundant number, since it is smaller than the sum of its proper divisors (214085016).

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

111451104 is a wasteful number, since it uses less digits than its factorization.

111451104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10512 (or 10501 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 111451104 is about 10557.0404943810. The cubic root of 111451104 is about 481.2397120643.

The spelling of 111451104 in words is "one hundred eleven million, four hundred fifty-one thousand, one hundred four".