106521946129 has 9 divisors (see below), whose sum is σ = 109491140241. Its totient is φ = 103631225040.

The previous prime is 106521946117. The next prime is 106521946133. The reversal of 106521946129 is 921649125601.

The square root of 106521946129 is 326377.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 32998539025 + 73523407104 = 181655^2 + 271152^2 .

It is not a de Polignac number, because 106521946129 - 2¹³ = 106521937937 is a prime.

It is a super-2 number, since 2×106521946129² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106521946829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12071539 + ... + 12080359.

It is an arithmetic number, because the mean of its divisors is an integer number (12165682249).

Almost surely, 2^106521946129 is an apocalyptic number.

106521946129 is the 326377-th square number.

106521946129 is the 163189-th centered octagonal number.

It is an amenable number.

106521946129 is a deficient number, since it is larger than the sum of its proper divisors (2969194112).

106521946129 is an frugal number, since it uses more digits than its factorization.

106521946129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17716 (or 8858 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 106521946129 in words is "one hundred six billion, five hundred twenty-one million, nine hundred forty-six thousand, one hundred twenty-nine".