105031032021 has 8 divisors (see below), whose sum is σ = 155601528960. Its totient is φ = 70020687996.

The previous prime is 105031032011. The next prime is 105031032047. The reversal of 105031032021 is 120230130501.

105031032021 is a `hidden beast` number, since 10 + 5 + 0 + 310 + 320 + 21 = 666.

It is not a de Polignac number, because 105031032021 - 2⁶ = 105031031957 is a prime.

It is a super-2 number, since 2×105031032021² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105031031985 and 105031032003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105031032011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1945019085 + ... + 1945019138.

It is an arithmetic number, because the mean of its divisors is an integer number (19450191120).

Almost surely, 2^105031032021 is an apocalyptic number.

It is an amenable number.

105031032021 is a deficient number, since it is larger than the sum of its proper divisors (50570496939).

105031032021 is an equidigital number, since it uses as much as digits as its factorization.

105031032021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890038232 (or 3890038226 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 105031032021 its reverse (120230130501), we get a palindrome (225261162522).

The spelling of 105031032021 in words is "one hundred five billion, thirty-one million, thirty-two thousand, twenty-one".