106466540 has 72 divisors (see below), whose sum is σ = 242479440. Its totient is φ = 39217024.

The previous prime is 106466497. The next prime is 106466561. The reversal of 106466540 is 45664601.

It is a super-2 number, since 2×106466540² = 22670248279143200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106466497 and 106466506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306647 + ... + 306993.

It is an arithmetic number, because the mean of its divisors is an integer number (3367770).

Almost surely, 2^106466540 is an apocalyptic number.

106466540 is a gapful number since it is divisible by the number (10) 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 106466540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121239720).

106466540 is an abundant number, since it is smaller than the sum of its proper divisors (136012900).

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

106466540 is a wasteful number, since it uses less digits than its factorization.

106466540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 106466540 is about 10318.2624506261. The cubic root of 106466540 is about 473.9556594152.

The spelling of 106466540 in words is "one hundred six million, four hundred sixty-six thousand, five hundred forty".