113006124 has 192 divisors, whose sum is σ = 371589120. Its totient is φ = 28848960.

The previous prime is 113006119. The next prime is 113006137. The reversal of 113006124 is 421600311.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 113006097 and 113006106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 889749 + ... + 889875.

It is an arithmetic number, because the mean of its divisors is an integer number (1935360).

Almost surely, 2^113006124 is an apocalyptic number.

113006124 is a gapful number since it is divisible by the number (14) 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 113006124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185794560).

113006124 is an abundant number, since it is smaller than the sum of its proper divisors (258582996).

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

113006124 is a wasteful number, since it uses less digits than its factorization.

113006124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 113006124 is about 10630.4338575620. The cubic root of 113006124 is about 483.4675461869.

Adding to 113006124 its reverse (421600311), we get a palindrome (534606435).

It can be divided in two parts, 11300 and 6124, that added together give a square (17424 = 132²).

The spelling of 113006124 in words is "one hundred thirteen million, six thousand, one hundred twenty-four".