105454352042013 has 16 divisors (see below), whose sum is σ = 151425094136960. Its totient is φ = 64893502828224.

The previous prime is 105454352041949. The next prime is 105454352042021. The reversal of 105454352042013 is 310240253454501.

It is not a de Polignac number, because 105454352042013 - 2⁶ = 105454352041949 is a prime.

It is a super-2 number, since 2×105454352042013² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105454352042063) 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, 29167081 + ... + 32582622.

It is an arithmetic number, because the mean of its divisors is an integer number (9464068383560).

Almost surely, 2^{105454352042013} is an apocalyptic number.

105454352042013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105454352042013 is a deficient number, since it is larger than the sum of its proper divisors (45970742094947).

105454352042013 is a wasteful number, since it uses less digits than its factorization.

105454352042013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61793508.

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 105454352042013 in words is "one hundred five trillion, four hundred fifty-four billion, three hundred fifty-two million, forty-two thousand, thirteen".