105441351435 has 144 divisors (see below), whose sum is σ = 218753870400. Its totient is φ = 46812390912.

The previous prime is 105441351419. The next prime is 105441351487. The reversal of 105441351435 is 534153144501.

105441351435 is a `hidden beast` number, since 10 + 544 + 13 + 51 + 43 + 5 = 666.

It is not a de Polignac number, because 105441351435 - 2⁴ = 105441351419 is a prime.

It is a super-2 number, since 2×105441351435² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105441351435.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67633186 + ... + 67634744.

It is an arithmetic number, because the mean of its divisors is an integer number (1519124100).

Almost surely, 2^105441351435 is an apocalyptic number.

105441351435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105441351435 is an abundant number, since it is smaller than the sum of its proper divisors (113312518965).

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

105441351435 is a wasteful number, since it uses less digits than its factorization.

105441351435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 105441351435 its reverse (534153144501), we get a palindrome (639594495936).

The spelling of 105441351435 in words is "one hundred five billion, four hundred forty-one million, three hundred fifty-one thousand, four hundred thirty-five".