105020662120050 has 96 divisors (see below), whose sum is σ = 272402869350528. Its totient is φ = 26726012881920.

The previous prime is 105020662120021. The next prime is 105020662120051. The reversal of 105020662120050 is 50021266020501.

It is a super-2 number, since 2×105020662120050² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (105020662120051) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 33657157 + ... + 36644856.

It is an arithmetic number, because the mean of its divisors is an integer number (2837529889068).

Almost surely, 2^{105020662120050} is an apocalyptic number.

105020662120050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105020662120050 is an abundant number, since it is smaller than the sum of its proper divisors (167382207230478).

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

105020662120050 is a wasteful number, since it uses less digits than its factorization.

105020662120050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70302484 (or 70302479 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 105020662120050 in words is "one hundred five trillion, twenty billion, six hundred sixty-two million, one hundred twenty thousand, fifty".