106021001041 has 8 divisors (see below), whose sum is σ = 112260461544. Its totient is φ = 99781866240.

The previous prime is 106021001033. The next prime is 106021001063. The reversal of 106021001041 is 140100120601.

It can be written as a sum of positive squares in 4 ways, for example, as 2902946641 + 103118054400 = 53879^2 + 321120^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106021001041 - 2³ = 106021001033 is a prime.

It is a super-3 number, since 3×106021001041³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106021001441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 996811 + ... + 1098031.

It is an arithmetic number, because the mean of its divisors is an integer number (14032557693).

Almost surely, 2^106021001041 is an apocalyptic number.

It is an amenable number.

106021001041 is a deficient number, since it is larger than the sum of its proper divisors (6239460503).

106021001041 is a wasteful number, since it uses less digits than its factorization.

106021001041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162851.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 106021001041 its reverse (140100120601), we get a palindrome (246121121642).

The spelling of 106021001041 in words is "one hundred six billion, twenty-one million, one thousand, forty-one".