111956401 has 2 divisors, whose sum is σ = 111956402. Its totient is φ = 111956400.

The previous prime is 111956371. The next prime is 111956423. The reversal of 111956401 is 104659111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107329600 + 4626801 = 10360^2 + 2151^2 .

It is a cyclic number.

It is not a de Polignac number, because 111956401 - 2⁹ = 111955889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111956401.

It is not a weakly prime, because it can be changed into another prime (111956461) by changing a digit.

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 as a sum of consecutive naturals, namely, 55978200 + 55978201.

It is an arithmetic number, because the mean of its divisors is an integer number (55978201).

Almost surely, 2^111956401 is an apocalyptic number.

It is an amenable number.

111956401 is a deficient number, since it is larger than the sum of its proper divisors (1).

111956401 is an equidigital number, since it uses as much as digits as its factorization.

111956401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 28.

The square root of 111956401 is about 10580.9451846232. The cubic root of 111956401 is about 481.9658972216.

The spelling of 111956401 in words is "one hundred eleven million, nine hundred fifty-six thousand, four hundred one".