105021663321252 has 96 divisors (see below), whose sum is σ = 247391408259072. Its totient is φ = 34673751737856.

The previous prime is 105021663321181. The next prime is 105021663321307. The reversal of 105021663321252 is 252123366120501.

105021663321252 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105021663321252² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105021663321252.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9110921913 + ... + 9110933439.

It is an arithmetic number, because the mean of its divisors is an integer number (2576993836032).

Almost surely, 2^{105021663321252} is an apocalyptic number.

105021663321252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105021663321252 is an abundant number, since it is smaller than the sum of its proper divisors (142369744937820).

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

105021663321252 is a wasteful number, since it uses less digits than its factorization.

105021663321252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21097 (or 21095 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 105021663321252 in words is "one hundred five trillion, twenty-one billion, six hundred sixty-three million, three hundred twenty-one thousand, two hundred fifty-two".