105540266433 has 48 divisors (see below), whose sum is σ = 163433160576. Its totient is φ = 59339788800.

The previous prime is 105540266431. The next prime is 105540266477. The reversal of 105540266433 is 334662045501.

It is not a de Polignac number, because 105540266433 - 2¹ = 105540266431 is a prime.

It is a super-2 number, since 2×105540266433² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105540266391 and 105540266400.

It is not an unprimeable number, because it can be changed into a prime (105540266431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67958185 + ... + 67959737.

It is an arithmetic number, because the mean of its divisors is an integer number (3404857512).

Almost surely, 2^105540266433 is an apocalyptic number.

It is an amenable number.

105540266433 is a deficient number, since it is larger than the sum of its proper divisors (57892894143).

105540266433 is a wasteful number, since it uses less digits than its factorization.

105540266433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 105540266433 in words is "one hundred five billion, five hundred forty million, two hundred sixty-six thousand, four hundred thirty-three".