105624654213 has 32 divisors (see below), whose sum is σ = 159693506560. Its totient is φ = 61561425600.

The previous prime is 105624654199. The next prime is 105624654229. The reversal of 105624654213 is 312456426501.

It is not a de Polignac number, because 105624654213 - 2⁴ = 105624654197 is a prime.

It is a super-2 number, since 2×105624654213² (a number of 23 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 (105624654263) 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 31 ways as a sum of consecutive naturals, for example, 2903688 + ... + 2939838.

It is an arithmetic number, because the mean of its divisors is an integer number (4990422080).

Almost surely, 2^105624654213 is an apocalyptic number.

105624654213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105624654213 is a deficient number, since it is larger than the sum of its proper divisors (54068852347).

105624654213 is a wasteful number, since it uses less digits than its factorization.

105624654213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40129.

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 105624654213 in words is "one hundred five billion, six hundred twenty-four million, six hundred fifty-four thousand, two hundred thirteen".