106546776 has 120 divisors (see below), whose sum is σ = 318137580. Its totient is φ = 29733984.

The previous prime is 106546753. The next prime is 106546793. The reversal of 106546776 is 677645601.

It is a super-2 number, since 2×106546776² = 22704430951988352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 2477811 + ... + 2477853.

Almost surely, 2^106546776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106546776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159068790).

106546776 is an abundant number, since it is smaller than the sum of its proper divisors (211590804).

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

106546776 is an frugal number, since it uses more digits than its factorization.

106546776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 106546776 is about 10322.1497760883. The cubic root of 106546776 is about 474.0746913578.

The spelling of 106546776 in words is "one hundred six million, five hundred forty-six thousand, seven hundred seventy-six".