111429400 has 48 divisors (see below), whose sum is σ = 260519040. Its totient is φ = 44323200.

The previous prime is 111429389. The next prime is 111429443. The reversal of 111429400 is 4924111.

It is a super-2 number, since 2×111429400² = 24833022368720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36742 + ... + 39658.

It is an arithmetic number, because the mean of its divisors is an integer number (5427480).

Almost surely, 2^111429400 is an apocalyptic number.

111429400 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 111429400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130259520).

111429400 is an abundant number, since it is smaller than the sum of its proper divisors (149089640).

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

111429400 is a wasteful number, since it uses less digits than its factorization.

111429400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 111429400 is about 10556.0125047292. The cubic root of 111429400 is about 481.2084711452.

The spelling of 111429400 in words is "one hundred eleven million, four hundred twenty-nine thousand, four hundred".