106545830021 has 16 divisors (see below), whose sum is σ = 109623045168. Its totient is φ = 103492300800.

The previous prime is 106545829969. The next prime is 106545830063. The reversal of 106545830021 is 120038545601.

It can be written as a sum of positive squares in 8 ways, for example, as 34627999396 + 71917830625 = 186086^2 + 268175^2 .

It is a cyclic number.

It is not a de Polignac number, because 106545830021 - 2¹⁴ = 106545813637 is a prime.

It is a super-2 number, since 2×106545830021² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106545830071) 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, 10509671 + ... + 10519803.

It is an arithmetic number, because the mean of its divisors is an integer number (6851440323).

Almost surely, 2^106545830021 is an apocalyptic number.

It is an amenable number.

106545830021 is a deficient number, since it is larger than the sum of its proper divisors (3077215147).

106545830021 is a wasteful number, since it uses less digits than its factorization.

106545830021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11272.

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 106545830021 in words is "one hundred six billion, five hundred forty-five million, eight hundred thirty thousand, twenty-one".