105215535441 has 32 divisors (see below), whose sum is σ = 157350604800. Its totient is φ = 69481359360.

The previous prime is 105215535437. The next prime is 105215535457. The reversal of 105215535441 is 144535512501.

105215535441 is a `hidden beast` number, since 1 + 0 + 52 + 1 + 553 + 54 + 4 + 1 = 666.

It is not a de Polignac number, because 105215535441 - 2² = 105215535437 is a prime.

It is a super-2 number, since 2×105215535441² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105215535396 and 105215535405.

It is not an unprimeable number, because it can be changed into a prime (105215535401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2174055 + ... + 2221923.

It is an arithmetic number, because the mean of its divisors is an integer number (4917206400).

Almost surely, 2^105215535441 is an apocalyptic number.

It is an amenable number.

105215535441 is a deficient number, since it is larger than the sum of its proper divisors (52135069359).

105215535441 is a wasteful number, since it uses less digits than its factorization.

105215535441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48646 (or 48640 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 105215535441 in words is "one hundred five billion, two hundred fifteen million, five hundred thirty-five thousand, four hundred forty-one".