106135205672221 has 12 divisors (see below), whose sum is σ = 119506401715932. Its totient is φ = 94133220104000.

The previous prime is 106135205672213. The next prime is 106135205672231. The reversal of 106135205672221 is 122276502531601.

It can be written as a sum of positive squares in 2 ways, for example, as 43121154888900 + 63014050783321 = 6566670^2 + 7938139^2 .

It is not a de Polignac number, because 106135205672221 - 2³ = 106135205672213 is a prime.

It is a super-2 number, since 2×106135205672221² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106135205672231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10696951870 + ... + 10696961791.

It is an arithmetic number, because the mean of its divisors is an integer number (9958866809661).

Almost surely, 2^{106135205672221} is an apocalyptic number.

106135205672221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106135205672221 is a deficient number, since it is larger than the sum of its proper divisors (13371196043711).

106135205672221 is a wasteful number, since it uses less digits than its factorization.

106135205672221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21393913724 (or 21393913713 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 106135205672221 in words is "one hundred six trillion, one hundred thirty-five billion, two hundred five million, six hundred seventy-two thousand, two hundred twenty-one".