105001105010052 has 24 divisors (see below), whose sum is σ = 245005865850816. Its totient is φ = 34999898694688.

The previous prime is 105001105010033. The next prime is 105001105010057. The reversal of 105001105010052 is 250010501100501.

105001105010052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105001105010052² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105001105010057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57773088 + ... + 59562839.

It is an arithmetic number, because the mean of its divisors is an integer number (10208577743784).

Almost surely, 2^{105001105010052} is an apocalyptic number.

105001105010052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105001105010052 is an abundant number, since it is smaller than the sum of its proper divisors (140004760840764).

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

105001105010052 is a wasteful number, since it uses less digits than its factorization.

105001105010052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117410507 (or 117410505 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 21.

Adding to 105001105010052 its reverse (250010501100501), we get a palindrome (355011606110553).

The spelling of 105001105010052 in words is "one hundred five trillion, one billion, one hundred five million, ten thousand, fifty-two".