113007258 has 192 divisors, whose sum is σ = 326764800. Its totient is φ = 28304640.

The previous prime is 113007227. The next prime is 113007259. The reversal of 113007258 is 852700311.

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

It is not an unprimeable number, because it can be changed into a prime (113007259) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1852548 + ... + 1852608.

It is an arithmetic number, because the mean of its divisors is an integer number (1701900).

Almost surely, 2^113007258 is an apocalyptic number.

113007258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113007258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163382400).

113007258 is an abundant number, since it is smaller than the sum of its proper divisors (213757542).

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

113007258 is a wasteful number, since it uses less digits than its factorization.

113007258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 113007258 is about 10630.4871948561. The cubic root of 113007258 is about 483.4691633570.

Adding to 113007258 its reverse (852700311), we get a palindrome (965707569).

The spelling of 113007258 in words is "one hundred thirteen million, seven thousand, two hundred fifty-eight".