111461089 has 16 divisors (see below), whose sum is σ = 118080000. Its totient is φ = 105068160.

The previous prime is 111461071. The next prime is 111461099. The reversal of 111461089 is 980164111.

111461089 = 457² + 458² + ... + 754².

It is a cyclic number.

It is not a de Polignac number, because 111461089 - 2¹⁷ = 111330017 is a prime.

It is a super-2 number, since 2×111461089² = 24847148722131842, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111461089.

It is not an unprimeable number, because it can be changed into a prime (111461029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272317 + ... + 272725.

It is an arithmetic number, because the mean of its divisors is an integer number (7380000).

Almost surely, 2^111461089 is an apocalyptic number.

It is an amenable number.

111461089 is a deficient number, since it is larger than the sum of its proper divisors (6618911).

111461089 is a wasteful number, since it uses less digits than its factorization.

111461089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648.

The product of its (nonzero) digits is 1728, while the sum is 31.

The square root of 111461089 is about 10557.5133909458. The cubic root of 111461089 is about 481.2540831947.

The spelling of 111461089 in words is "one hundred eleven million, four hundred sixty-one thousand, eighty-nine".