106406106121 has 32 divisors (see below), whose sum is σ = 133759019520. Its totient is φ = 82566758400.

The previous prime is 106406106089. The next prime is 106406106161. The reversal of 106406106121 is 121601604601.

It is not a de Polignac number, because 106406106121 - 2⁵ = 106406106089 is a prime.

It is a super-2 number, since 2×106406106121² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106406106121.

It is not an unprimeable number, because it can be changed into a prime (106406106161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192825 + ... + 499993.

It is an arithmetic number, because the mean of its divisors is an integer number (4179969360).

Almost surely, 2^106406106121 is an apocalyptic number.

It is an amenable number.

106406106121 is a deficient number, since it is larger than the sum of its proper divisors (27352913399).

106406106121 is a wasteful number, since it uses less digits than its factorization.

106406106121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307305.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 106406106121 in words is "one hundred six billion, four hundred six million, one hundred six thousand, one hundred twenty-one".