105132101422020 has 24 divisors (see below), whose sum is σ = 294369883981824. Its totient is φ = 28035227045856.

The previous prime is 105132101422003. The next prime is 105132101422079. The reversal of 105132101422020 is 20224101231501.

It is a happy number.

It is a super-2 number, since 2×105132101422020² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 876100845124 + ... + 876100845243.

It is an arithmetic number, because the mean of its divisors is an integer number (12265411832576).

Almost surely, 2^{105132101422020} is an apocalyptic number.

105132101422020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105132101422020 is an abundant number, since it is smaller than the sum of its proper divisors (189237782559804).

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

105132101422020 is a wasteful number, since it uses less digits than its factorization.

105132101422020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752201690379 (or 1752201690377 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 105132101422020 its reverse (20224101231501), we get a palindrome (125356202653521).

The spelling of 105132101422020 in words is "one hundred five trillion, one hundred thirty-two billion, one hundred one million, four hundred twenty-two thousand, twenty".