106562267626266 has 96 divisors (see below), whose sum is σ = 246534147961920. Its totient is φ = 33149131504128.

The previous prime is 106562267626259. The next prime is 106562267626273. The reversal of 106562267626266 is 662626762265601.

106562267626266 is a `hidden beast` number, since 1 + 0 + 6 + 56 + 2 + 267 + 6 + 262 + 66 = 666.

It is an interprime number because it is at equal distance from previous prime (106562267626259) and next prime (106562267626273).

It is a super-2 number, since 2×106562267626266² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32327865 + ... + 35471331.

It is an arithmetic number, because the mean of its divisors is an integer number (2568064041270).

Almost surely, 2^{106562267626266} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106562267626266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123267073980960).

106562267626266 is an abundant number, since it is smaller than the sum of its proper divisors (139971880335654).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106562267626266 is a wasteful number, since it uses less digits than its factorization.

106562267626266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144428 (or 3144425 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 106562267626266 in words is "one hundred six trillion, five hundred sixty-two billion, two hundred sixty-seven million, six hundred twenty-six thousand, two hundred sixty-six".