105267513630 has 32 divisors (see below), whose sum is σ = 252903366144. Its totient is φ = 28042299936.

The previous prime is 105267513583. The next prime is 105267513647. The reversal of 105267513630 is 36315762501.

It is a super-2 number, since 2×105267513630² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1785322 + ... + 1843341.

It is an arithmetic number, because the mean of its divisors is an integer number (7903230192).

Almost surely, 2^105267513630 is an apocalyptic number.

105267513630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105267513630 is an abundant number, since it is smaller than the sum of its proper divisors (147635852514).

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

105267513630 is a wasteful number, since it uses less digits than its factorization.

105267513630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629640.

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 105267513630 in words is "one hundred five billion, two hundred sixty-seven million, five hundred thirteen thousand, six hundred thirty".