111506641 has 8 divisors (see below), whose sum is σ = 115704680. Its totient is φ = 107371008.

The previous prime is 111506617. The next prime is 111506651. The reversal of 111506641 is 146605111.

It can be written as a sum of positive squares in 4 ways, for example, as 38489616 + 73017025 = 6204^2 + 8545^2 .

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 111506641 - 2¹³ = 111498449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111506651) 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, 11946 + ... + 19123.

It is an arithmetic number, because the mean of its divisors is an integer number (14463085).

Almost surely, 2^111506641 is an apocalyptic number.

It is an amenable number.

111506641 is a deficient number, since it is larger than the sum of its proper divisors (4198039).

111506641 is an equidigital number, since it uses as much as digits as its factorization.

111506641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31203.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 111506641 is about 10559.6704967532. The cubic root of 111506641 is about 481.3196340235.

The spelling of 111506641 in words is "one hundred eleven million, five hundred six thousand, six hundred forty-one".