106213332445 has 64 divisors (see below), whose sum is σ = 152454700800. Its totient is φ = 70123253760.

The previous prime is 106213332419. The next prime is 106213332481. The reversal of 106213332445 is 544233312601.

It is a happy number.

It is not a de Polignac number, because 106213332445 - 2²¹ = 106211235293 is a prime.

It is a super-3 number, since 3×106213332445³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106213332445.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45253762 + ... + 45256108.

It is an arithmetic number, because the mean of its divisors is an integer number (2382104700).

Almost surely, 2^106213332445 is an apocalyptic number.

It is an amenable number.

106213332445 is a deficient number, since it is larger than the sum of its proper divisors (46241368355).

106213332445 is a wasteful number, since it uses less digits than its factorization.

106213332445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078.

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 106213332445 in words is "one hundred six billion, two hundred thirteen million, three hundred thirty-two thousand, four hundred forty-five".