105153133405 has 16 divisors (see below), whose sum is σ = 128578803840. Its totient is φ = 82526162368.

The previous prime is 105153133369. The next prime is 105153133469. The reversal of 105153133405 is 504331351501.

It is a cyclic number.

It is not a de Polignac number, because 105153133405 - 2¹³ = 105153125213 is a prime.

It is a super-2 number, since 2×105153133405² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3361326 + ... + 3392464.

It is an arithmetic number, because the mean of its divisors is an integer number (8036175240).

Almost surely, 2^105153133405 is an apocalyptic number.

It is an amenable number.

105153133405 is a deficient number, since it is larger than the sum of its proper divisors (23425670435).

105153133405 is a wasteful number, since it uses less digits than its factorization.

105153133405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43940.

The product of its (nonzero) digits is 13500, while the sum is 31.

Adding to 105153133405 its reverse (504331351501), we get a palindrome (609484484906).

The spelling of 105153133405 in words is "one hundred five billion, one hundred fifty-three million, one hundred thirty-three thousand, four hundred five".