105007763100130 has 16 divisors (see below), whose sum is σ = 206197062087744. Its totient is φ = 38184641127280.

The previous prime is 105007763100059. The next prime is 105007763100151. The reversal of 105007763100130 is 31001367700501.

It is a super-2 number, since 2×105007763100130² (a number of 29 digits) contains 22 as substring.

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, 477308013982 + ... + 477308014201.

It is an arithmetic number, because the mean of its divisors is an integer number (12887316380484).

Almost surely, 2^{105007763100130} is an apocalyptic number.

105007763100130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105007763100130 is a deficient number, since it is larger than the sum of its proper divisors (101189298987614).

105007763100130 is a wasteful number, since it uses less digits than its factorization.

105007763100130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954616028201.

The product of its (nonzero) digits is 13230, while the sum is 34.

The spelling of 105007763100130 in words is "one hundred five trillion, seven billion, seven hundred sixty-three million, one hundred thousand, one hundred thirty".