111429116100 has 135 divisors (see below), whose sum is σ = 361306586487. Its totient is φ = 29706419520.

The previous prime is 111429116089. The next prime is 111429116111. The reversal of 111429116100 is 1611924111.

The square root of 111429116100 is 333810.

It is a perfect power (a square), and thus also a powerful number.

111429116100 is a `hidden beast` number, since 1 + 1 + 1 + 42 + 9 + 1 + 1 + 610 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (111429116089) and next prime (111429116111).

It can be written as a sum of positive squares in 4 ways, for example, as 15844263876 + 95584852224 = 125874^2 + 309168^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 30041046 + ... + 30044754.

Almost surely, 2^111429116100 is an apocalyptic number.

111429116100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111429116100 is the 333810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111429116100

111429116100 is an abundant number, since it is smaller than the sum of its proper divisors (249877470387).

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

111429116100 is an frugal number, since it uses more digits than its factorization.

111429116100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7444 (or 3719 counting only the distinct ones).

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

It can be divided in two parts, 111429 and 116100, that added together give a square (227529 = 477²).

The spelling of 111429116100 in words is "one hundred eleven billion, four hundred twenty-nine million, one hundred sixteen thousand, one hundred".