111961080 has 288 divisors, whose sum is σ = 462561840. Its totient is φ = 23224320.

The previous prime is 111961063. The next prime is 111961093. The reversal of 111961080 is 80169111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 193752 + ... + 194328.

Almost surely, 2^111961080 is an apocalyptic number.

111961080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111961080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231280920).

111961080 is an abundant number, since it is smaller than the sum of its proper divisors (350600760).

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

111961080 is a wasteful number, since it uses less digits than its factorization.

111961080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 111961080 is about 10581.1662873239. The cubic root of 111961080 is about 481.9726114038.

It can be divided in two parts, 111 and 961080, that added together give a triangular number (961191 = T₁₃₈₆).

The spelling of 111961080 in words is "one hundred eleven million, nine hundred sixty-one thousand, eighty".