111041952 has 96 divisors (see below), whose sum is σ = 335664000. Its totient is φ = 31484928.

The previous prime is 111041951. The next prime is 111041963. The reversal of 111041952 is 259140111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (111041951) 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, 99574 + ... + 100682.

It is an arithmetic number, because the mean of its divisors is an integer number (3496500).

Almost surely, 2^111041952 is an apocalyptic number.

111041952 is a gapful number since it is divisible by the number (12) 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 111041952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167832000).

111041952 is an abundant number, since it is smaller than the sum of its proper divisors (224622048).

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

111041952 is a wasteful number, since it uses less digits than its factorization.

111041952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 111041952 is about 10537.6445185819. The cubic root of 111041952 is about 480.6500913689.

The spelling of 111041952 in words is "one hundred eleven million, forty-one thousand, nine hundred fifty-two".