106225040106 has 48 divisors (see below), whose sum is σ = 230621287104. Its totient is φ = 35336572992.

The previous prime is 106225040101. The next prime is 106225040111. The reversal of 106225040106 is 601040522601.

106225040106 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 250 + 401 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (106225040101) and next prime (106225040111).

It is a super-3 number, since 3×106225040106³ (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 106225040106.

It is not an unprimeable number, because it can be changed into a prime (106225040101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29562646 + ... + 29566238.

It is an arithmetic number, because the mean of its divisors is an integer number (4804610148).

Almost surely, 2^106225040106 is an apocalyptic number.

106225040106 is an abundant number, since it is smaller than the sum of its proper divisors (124396246998).

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

106225040106 is a wasteful number, since it uses less digits than its factorization.

106225040106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6475 (or 6472 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 106225040106 its reverse (601040522601), we get a palindrome (707265562707).

The spelling of 106225040106 in words is "one hundred six billion, two hundred twenty-five million, forty thousand, one hundred six".