106268364 has 72 divisors (see below), whose sum is σ = 274371552. Its totient is φ = 34675200.

The previous prime is 106268353. The next prime is 106268423. The reversal of 106268364 is 463862601.

It is a super-3 number, since 3×106268364³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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, 614182 + ... + 614354.

It is an arithmetic number, because the mean of its divisors is an integer number (3810716).

Almost surely, 2^106268364 is an apocalyptic number.

It is an amenable number.

106268364 is an abundant number, since it is smaller than the sum of its proper divisors (168103188).

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

106268364 is a wasteful number, since it uses less digits than its factorization.

106268364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 106268364 is about 10308.6548104008. The cubic root of 106268364 is about 473.6614042899.

The spelling of 106268364 in words is "one hundred six million, two hundred sixty-eight thousand, three hundred sixty-four".