105613551834 has 96 divisors (see below), whose sum is σ = 253633228800. Its totient is φ = 28717086816.

The previous prime is 105613551833. The next prime is 105613551851. The reversal of 105613551834 is 438155316501.

105613551834 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105613551834² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (105613551833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4409439 + ... + 4433325.

It is an arithmetic number, because the mean of its divisors is an integer number (2642012800).

Almost surely, 2^105613551834 is an apocalyptic number.

105613551834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105613551834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126816614400).

105613551834 is an abundant number, since it is smaller than the sum of its proper divisors (148019676966).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105613551834 is a wasteful number, since it uses less digits than its factorization.

105613551834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24144 (or 24121 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 105613551834 in words is "one hundred five billion, six hundred thirteen million, five hundred fifty-one thousand, eight hundred thirty-four".