106412466 has 32 divisors (see below), whose sum is σ = 218707776. Its totient is φ = 34496000.

The previous prime is 106412461. The next prime is 106412477. The reversal of 106412466 is 664214601.

It is a super-4 number, since 4×106412466⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106412461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120346 + ... + 121226.

It is an arithmetic number, because the mean of its divisors is an integer number (6834618).

Almost surely, 2^106412466 is an apocalyptic number.

106412466 is an abundant number, since it is smaller than the sum of its proper divisors (112295310).

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

106412466 is a wasteful number, since it uses less digits than its factorization.

106412466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 106412466 is about 10315.6418123159. The cubic root of 106412466 is about 473.8754056614.

It can be divided in two parts, 1064 and 12466, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 106412466 in words is "one hundred six million, four hundred twelve thousand, four hundred sixty-six".