105213321762704 has 40 divisors (see below), whose sum is σ = 204343648669440. Its totient is φ = 52479503175168.

The previous prime is 105213321762701. The next prime is 105213321762721. The reversal of 105213321762704 is 407267123312501.

It is a happy number.

It is a super-2 number, since 2×105213321762704² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105213321762701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63747209 + ... + 65376855.

It is an arithmetic number, because the mean of its divisors is an integer number (5108591216736).

Almost surely, 2^{105213321762704} is an apocalyptic number.

It is an amenable number.

105213321762704 is a deficient number, since it is larger than the sum of its proper divisors (99130326906736).

105213321762704 is a wasteful number, since it uses less digits than its factorization.

105213321762704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639407 (or 1639401 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 105213321762704 in words is "one hundred five trillion, two hundred thirteen billion, three hundred twenty-one million, seven hundred sixty-two thousand, seven hundred four".