105949047357 has 16 divisors (see below), whose sum is σ = 158350596480. Its totient is φ = 70007628096.

The previous prime is 105949047329. The next prime is 105949047371. The reversal of 105949047357 is 753740949501.

105949047357 is a `hidden beast` number, since 1 + 0 + 594 + 9 + 0 + 47 + 3 + 5 + 7 = 666.

It is not a de Polignac number, because 105949047357 - 2⁷ = 105949047229 is a prime.

It is a super-2 number, since 2×105949047357² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105949047307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17359953 + ... + 17366054.

It is an arithmetic number, because the mean of its divisors is an integer number (9896912280).

Almost surely, 2^105949047357 is an apocalyptic number.

It is an amenable number.

105949047357 is a deficient number, since it is larger than the sum of its proper divisors (52401549123).

105949047357 is a wasteful number, since it uses less digits than its factorization.

105949047357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34726129 (or 34726123 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 105949047357 in words is "one hundred five billion, nine hundred forty-nine million, forty-seven thousand, three hundred fifty-seven".