105153133404 has 24 divisors (see below), whose sum is σ = 267662521728. Its totient is φ = 31864585840.

The previous prime is 105153133369. The next prime is 105153133469. The reversal of 105153133404 is 404331351501.

It is a super-2 number, since 2×105153133404² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 398307192 + ... + 398307455.

It is an arithmetic number, because the mean of its divisors is an integer number (11152605072).

Almost surely, 2^105153133404 is an apocalyptic number.

It is an amenable number.

105153133404 is an abundant number, since it is smaller than the sum of its proper divisors (162509388324).

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

105153133404 is a wasteful number, since it uses less digits than its factorization.

105153133404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796614665 (or 796614663 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 105153133404 its reverse (404331351501), we get a palindrome (509484484905).

The spelling of 105153133404 in words is "one hundred five billion, one hundred fifty-three million, one hundred thirty-three thousand, four hundred four".