106040466 has 48 divisors (see below), whose sum is σ = 264536064. Its totient is φ = 30071232.

The previous prime is 106040461. The next prime is 106040471. The reversal of 106040466 is 664040601.

106040466 is a `hidden beast` number, since 10 + 604 + 0 + 46 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (106040461) and next prime (106040471).

It is a super-2 number, since 2×106040466² = 22489160858994312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106040461) 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, 14191 + ... + 20333.

It is an arithmetic number, because the mean of its divisors is an integer number (5511168).

Almost surely, 2^106040466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106040466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132268032).

106040466 is an abundant number, since it is smaller than the sum of its proper divisors (158495598).

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

106040466 is a wasteful number, since it uses less digits than its factorization.

106040466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6295 (or 6292 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 106040466 is about 10297.5951561518. The cubic root of 106040466 is about 473.3225648325.

The spelling of 106040466 in words is "one hundred six million, forty thousand, four hundred sixty-six".