114105124 has 45 divisors (see below), whose sum is σ = 235107537. Its totient is φ = 48453552.

The previous prime is 114105109. The next prime is 114105133. The reversal of 114105124 is 421501411.

The square root of 114105124 is 10682.

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

It can be written as a sum of positive squares in only one way, i.e., 79530724 + 34574400 = 8918^2 + 5880^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1046782 + ... + 1046890.

Almost surely, 2^114105124 is an apocalyptic number.

114105124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

114105124 is the 10682-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114105124

114105124 is an abundant number, since it is smaller than the sum of its proper divisors (121002413).

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

114105124 is an frugal number, since it uses more digits than its factorization.

114105124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The cubic root of 114105124 is about 485.0297554990.

Adding to 114105124 its reverse (421501411), we get a palindrome (535606535).

The spelling of 114105124 in words is "one hundred fourteen million, one hundred five thousand, one hundred twenty-four".