105054200034 has 24 divisors (see below), whose sum is σ = 244411813008. Its totient is φ = 30015485640.

The previous prime is 105054200023. The next prime is 105054200039. The reversal of 105054200034 is 430002450501.

It is a super-2 number, since 2×105054200034² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105054199977 and 105054200013.

It is not an unprimeable number, because it can be changed into a prime (105054200039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178663312 + ... + 178663899.

It is an arithmetic number, because the mean of its divisors is an integer number (10183825542).

Almost surely, 2^105054200034 is an apocalyptic number.

105054200034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105054200034 is an abundant number, since it is smaller than the sum of its proper divisors (139357612974).

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

105054200034 is a wasteful number, since it uses less digits than its factorization.

105054200034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357327230 (or 357327223 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 105054200034 its reverse (430002450501), we get a palindrome (535056650535).

The spelling of 105054200034 in words is "one hundred five billion, fifty-four million, two hundred thousand, thirty-four".