105123130 has 48 divisors (see below), whose sum is σ = 223787016. Its totient is φ = 35441280.

The previous prime is 105123127. The next prime is 105123157. The reversal of 105123130 is 31321501.

It can be written as a sum of positive squares in 4 ways, for example, as 83192641 + 21930489 = 9121^2 + 4683^2 .

It is a super-2 number, since 2×105123130² = 22101744921993800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28132 + ... + 31648.

Almost surely, 2^105123130 is an apocalyptic number.

105123130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105123130 is an abundant number, since it is smaller than the sum of its proper divisors (118663886).

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

105123130 is a wasteful number, since it uses less digits than its factorization.

105123130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 105123130 is about 10252.9571344076. The cubic root of 105123130 is about 471.9537354108.

Adding to 105123130 its reverse (31321501), we get a palindrome (136444631).

The spelling of 105123130 in words is "one hundred five million, one hundred twenty-three thousand, one hundred thirty".