111007152 has 80 divisors (see below), whose sum is σ = 320083680. Its totient is φ = 36834048.

The previous prime is 111007147. The next prime is 111007189. The reversal of 111007152 is 251700111.

It is a happy number.

It is a super-2 number, since 2×111007152² = 24645175590302208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126138 + ... + 127014.

It is an arithmetic number, because the mean of its divisors is an integer number (4001046).

Almost surely, 2^111007152 is an apocalyptic number.

111007152 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 111007152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160041840).

111007152 is an abundant number, since it is smaller than the sum of its proper divisors (209076528).

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

111007152 is a wasteful number, since it uses less digits than its factorization.

111007152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 111007152 is about 10535.9931662848. The cubic root of 111007152 is about 480.5998750002.

Adding to 111007152 its reverse (251700111), we get a palindrome (362707263).

The spelling of 111007152 in words is "one hundred eleven million, seven thousand, one hundred fifty-two".