106259776 has 56 divisors (see below), whose sum is σ = 243230400. Its totient is φ = 45115392.

The previous prime is 106259773. The next prime is 106259833. The reversal of 106259776 is 677952601.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×106259776² = 22582279991140352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106259773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49575 + ... + 51673.

It is an arithmetic number, because the mean of its divisors is an integer number (4343400).

Almost surely, 2^106259776 is an apocalyptic number.

106259776 is a gapful number since it is divisible by the number (16) 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 106259776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121615200).

106259776 is an abundant number, since it is smaller than the sum of its proper divisors (136970624).

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

106259776 is a wasteful number, since it uses less digits than its factorization.

106259776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

The square root of 106259776 is about 10308.2382587909. The cubic root of 106259776 is about 473.6486444130.

The spelling of 106259776 in words is "one hundred six million, two hundred fifty-nine thousand, seven hundred seventy-six".