105121305520031 has 16 divisors (see below), whose sum is σ = 108827533281600. Its totient is φ = 101420513107200.

The previous prime is 105121305520009. The next prime is 105121305520069. The reversal of 105121305520031 is 130025503121501.

It is a cyclic number.

It is not a de Polignac number, because 105121305520031 - 2³⁰ = 105120231778207 is a prime.

It is a super-2 number, since 2×105121305520031² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105121305519976 and 105121305520003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105121305520001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540147161 + ... + 540341741.

It is an arithmetic number, because the mean of its divisors is an integer number (6801720830100).

Almost surely, 2^{105121305520031} is an apocalyptic number.

105121305520031 is a deficient number, since it is larger than the sum of its proper divisors (3706227761569).

105121305520031 is a wasteful number, since it uses less digits than its factorization.

105121305520031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208450.

The product of its (nonzero) digits is 4500, while the sum is 29.

Adding to 105121305520031 its reverse (130025503121501), we get a palindrome (235146808641532).

The spelling of 105121305520031 in words is "one hundred five trillion, one hundred twenty-one billion, three hundred five million, five hundred twenty thousand, thirty-one".