106666416 has 40 divisors (see below), whose sum is σ = 306173360. Its totient is φ = 35555328.

The previous prime is 106666409. The next prime is 106666421. The reversal of 106666416 is 614666601.

It is a super-2 number, since 2×106666416² = 22755448604570112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123025 + ... + 123888.

It is an arithmetic number, because the mean of its divisors is an integer number (7654334).

Almost surely, 2^106666416 is an apocalyptic number.

106666416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106666416 is an abundant number, since it is smaller than the sum of its proper divisors (199506944).

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

106666416 is a wasteful number, since it uses less digits than its factorization.

106666416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246930 (or 246918 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 106666416 is about 10327.9434545315. The cubic root of 106666416 is about 474.2520691006.

The spelling of 106666416 in words is "one hundred six million, six hundred sixty-six thousand, four hundred sixteen".