105258630 has 16 divisors (see below), whose sum is σ = 252620784. Its totient is φ = 28068960.

The previous prime is 105258619. The next prime is 105258653. The reversal of 105258630 is 36852501.

It is a super-2 number, since 2×105258630² = 22158758378953800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 3508621 = 105258630 / (1 + 0 + 5 + 2 + 5 + 8 + 6 + 3 + 0).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1754281 + ... + 1754340.

It is an arithmetic number, because the mean of its divisors is an integer number (15788799).

Almost surely, 2^105258630 is an apocalyptic number.

105258630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105258630 is an abundant number, since it is smaller than the sum of its proper divisors (147362154).

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

105258630 is a wasteful number, since it uses less digits than its factorization.

105258630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508631.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 105258630 is about 10259.5628561845. The cubic root of 105258630 is about 472.1564255783.

The spelling of 105258630 in words is "one hundred five million, two hundred fifty-eight thousand, six hundred thirty".