105013343834 has 96 divisors (see below), whose sum is σ = 196769005056. Its totient is φ = 41800872960.

The previous prime is 105013343833. The next prime is 105013343839. The reversal of 105013343834 is 438343310501.

It is a super-2 number, since 2×105013343834² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105013343794 and 105013343803.

It is not an unprimeable number, because it can be changed into a prime (105013343833) 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, 56125919 + ... + 56127789.

It is an arithmetic number, because the mean of its divisors is an integer number (2049677136).

Almost surely, 2^105013343834 is an apocalyptic number.

105013343834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105013343834 is a deficient number, since it is larger than the sum of its proper divisors (91755661222).

105013343834 is a wasteful number, since it uses less digits than its factorization.

105013343834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 105013343834 in words is "one hundred five billion, thirteen million, three hundred forty-three thousand, eight hundred thirty-four".