105113000 has 64 divisors (see below), whose sum is σ = 247525200. Its totient is φ = 41779200.

The previous prime is 105112993. The next prime is 105113003. The reversal of 105113000 is 311501.

105113000 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 8 ways, for example, as 49252324 + 55860676 = 7018^2 + 7474^2 .

It is a super-2 number, since 2×105113000² = 22097485538000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105113003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 256796 + ... + 257204.

Almost surely, 2^105113000 is an apocalyptic number.

105113000 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 105113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123762600).

105113000 is an abundant number, since it is smaller than the sum of its proper divisors (142412200).

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

105113000 is a wasteful number, since it uses less digits than its factorization.

105113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 105113000 is about 10252.4631186852. The cubic root of 105113000 is about 471.9385752682.

Adding to 105113000 its reverse (311501), we get a palindrome (105424501).

The spelling of 105113000 in words is "one hundred five million, one hundred thirteen thousand".