105005001060504 has 112 divisors (see below), whose sum is σ = 295247511685320. Its totient is φ = 34995028907520.

The previous prime is 105005001060503. The next prime is 105005001060511. The reversal of 105005001060504 is 405060100500501.

It is a happy number.

105005001060504 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 0 + 50 + 0 + 1 + 0 + 605 + 0 + 4 = 666.

It is a super-2 number, since 2×105005001060504² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105005001060503) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29094099 + ... + 32503485.

Almost surely, 2^{105005001060504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105005001060504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147623755842660).

105005001060504 is an abundant number, since it is smaller than the sum of its proper divisors (190242510624816).

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

105005001060504 is an equidigital number, since it uses as much as digits as its factorization.

105005001060504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414692 (or 3414673 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 105005001060504 in words is "one hundred five trillion, five billion, one million, sixty thousand, five hundred four".