106666812 has 36 divisors (see below), whose sum is σ = 308149296. Its totient is φ = 30476160.

The previous prime is 106666811. The next prime is 106666831. The reversal of 106666812 is 218666601.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106666812² = 22755617564486688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106666811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211389 + ... + 211892.

Almost surely, 2^106666812 is an apocalyptic number.

106666812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106666812 is an abundant number, since it is smaller than the sum of its proper divisors (201482484).

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

106666812 is a wasteful number, since it uses less digits than its factorization.

106666812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423298 (or 423293 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 106666812 is about 10327.9626258038. The cubic root of 106666812 is about 474.2526559882.

The spelling of 106666812 in words is "one hundred six million, six hundred sixty-six thousand, eight hundred twelve".