106641612 has 288 divisors, whose sum is σ = 372363264. Its totient is φ = 24883200.

The previous prime is 106641611. The next prime is 106641631. The reversal of 106641612 is 216146601.

106641612 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 41 + 612 = 666.

It is a super-2 number, since 2×106641612² = 22744866819917088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106641611) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1460808 + ... + 1460880.

It is an arithmetic number, because the mean of its divisors is an integer number (1292928).

Almost surely, 2^106641612 is an apocalyptic number.

106641612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106641612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186181632).

106641612 is an abundant number, since it is smaller than the sum of its proper divisors (265721652).

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

106641612 is a wasteful number, since it uses less digits than its factorization.

106641612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106641612 is about 10326.7425648168. The cubic root of 106641612 is about 474.2153057010.

The spelling of 106641612 in words is "one hundred six million, six hundred forty-one thousand, six hundred twelve".