106127406 has 72 divisors (see below), whose sum is σ = 288895152. Its totient is φ = 27561600.

The previous prime is 106127381. The next prime is 106127459. The reversal of 106127406 is 604721601.

106127406 is a `hidden beast` number, since 1 + 0 + 612 + 7 + 40 + 6 = 666.

It is a super-2 number, since 2×106127406² = 22526052608577672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106127406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11766 + ... + 18726.

Almost surely, 2^106127406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106127406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144447576).

106127406 is an abundant number, since it is smaller than the sum of its proper divisors (182767746).

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

106127406 is a wasteful number, since it uses less digits than its factorization.

106127406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6998 (or 6984 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 106127406 is about 10301.8156652116. The cubic root of 106127406 is about 473.4518847180.

The spelling of 106127406 in words is "one hundred six million, one hundred twenty-seven thousand, four hundred six".