10357249805 has 24 divisors (see below), whose sum is σ = 14956432920. Its totient is φ = 6857208960.

The previous prime is 10357249783. The next prime is 10357249817. The reversal of 10357249805 is 50894275301.

10357249805 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1785823081 + 8571426724 = 42259^2 + 92582^2 .

It is not a de Polignac number, because 10357249805 - 2⁸ = 10357249549 is a prime.

It is a super-3 number, since 3×10357249805³ (a number of 31 digits) contains 333 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 23 ways as a sum of consecutive naturals, for example, 721766 + ... + 735975.

It is an arithmetic number, because the mean of its divisors is an integer number (623184705).

Almost surely, 2^10357249805 is an apocalyptic number.

It is an amenable number.

10357249805 is a deficient number, since it is larger than the sum of its proper divisors (4599183115).

10357249805 is a wasteful number, since it uses less digits than its factorization.

10357249805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457789 (or 1457782 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The spelling of 10357249805 in words is "ten billion, three hundred fifty-seven million, two hundred forty-nine thousand, eight hundred five".