111100985 has 8 divisors (see below), whose sum is σ = 135837000. Its totient is φ = 87203584.

The previous prime is 111100981. The next prime is 111101033. The reversal of 111100985 is 589001111.

111100985 = T₂₀₂₁ + T₂₀₂₂ + ... + T₂₀₇₃.

It can be written as a sum of positive squares in 4 ways, for example, as 18113536 + 92987449 = 4256^2 + 9643^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 111100985 - 2² = 111100981 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111100981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209360 + ... + 209889.

It is an arithmetic number, because the mean of its divisors is an integer number (16979625).

Almost surely, 2^111100985 is an apocalyptic number.

It is an amenable number.

111100985 is a deficient number, since it is larger than the sum of its proper divisors (24736015).

111100985 is an equidigital number, since it uses as much as digits as its factorization.

111100985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419307.

The product of its (nonzero) digits is 360, while the sum is 26.

The square root of 111100985 is about 10540.4451993263. The cubic root of 111100985 is about 480.7352519461.

The spelling of 111100985 in words is "one hundred eleven million, one hundred thousand, nine hundred eighty-five".