105457424649 has 16 divisors (see below), whose sum is σ = 148109280000. Its totient is φ = 66560202576.

The previous prime is 105457424641. The next prime is 105457424693. The reversal of 105457424649 is 946424754501.

It is not a de Polignac number, because 105457424649 - 2³ = 105457424641 is a prime.

It is a super-2 number, since 2×105457424649² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105457424641) 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, 531679 + ... + 702564.

It is an arithmetic number, because the mean of its divisors is an integer number (9256830000).

Almost surely, 2^105457424649 is an apocalyptic number.

105457424649 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

105457424649 is a deficient number, since it is larger than the sum of its proper divisors (42651855351).

105457424649 is a wasteful number, since it uses less digits than its factorization.

105457424649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235764.

The product of its (nonzero) digits is 4838400, while the sum is 51.

It can be divided in two parts, 105 and 457424649, that added together give a palindrome (457424754).

The spelling of 105457424649 in words is "one hundred five billion, four hundred fifty-seven million, four hundred twenty-four thousand, six hundred forty-nine".