10105335793672 has 24 divisors (see below), whose sum is σ = 22040974754910. Its totient is φ = 4330858197120.

The previous prime is 10105335793661. The next prime is 10105335793691. The reversal of 10105335793672 is 27639753350101.

It can be written as a sum of positive squares in only one way, i.e., 6192005163876 + 3913330629796 = 2488374^2 + 1978214^2 .

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 5 ways as a sum of consecutive naturals, for example, 12889458529 + ... + 12889459312.

Almost surely, 2^{10105335793672} is an apocalyptic number.

It is an amenable number.

10105335793672 is an abundant number, since it is smaller than the sum of its proper divisors (11935638961238).

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

10105335793672 is a wasteful number, since it uses less digits than its factorization.

10105335793672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25778917861 (or 25778917850 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 52.

The spelling of 10105335793672 in words is "ten trillion, one hundred five billion, three hundred thirty-five million, seven hundred ninety-three thousand, six hundred seventy-two".