105400260733 has 16 divisors (see below), whose sum is σ = 108541990656. Its totient is φ = 102297133120.

The previous prime is 105400260727. The next prime is 105400260769. The reversal of 105400260733 is 337062004501.

It is a cyclic number.

It is not a de Polignac number, because 105400260733 - 2¹³ = 105400252541 is a prime.

It is a super-2 number, since 2×105400260733² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105400260695 and 105400260704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105400200733) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9925935 + ... + 9936547.

It is an arithmetic number, because the mean of its divisors is an integer number (6783874416).

Almost surely, 2^105400260733 is an apocalyptic number.

It is an amenable number.

105400260733 is a deficient number, since it is larger than the sum of its proper divisors (3141729923).

105400260733 is a wasteful number, since it uses less digits than its factorization.

105400260733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12404.

The product of its (nonzero) digits is 15120, while the sum is 31.

The spelling of 105400260733 in words is "one hundred five billion, four hundred million, two hundred sixty thousand, seven hundred thirty-three".