106268580 has 144 divisors (see below), whose sum is σ = 354751488. Its totient is φ = 25536000.

The previous prime is 106268573. The next prime is 106268593. The reversal of 106268580 is 85862601.

It is a happy number.

106268580 is a `hidden beast` number, since 10 + 6 + 2 + 68 + 580 = 666.

It is a super-2 number, since 2×106268580² = 22586022190432800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 378040 + ... + 378320.

It is an arithmetic number, because the mean of its divisors is an integer number (2463552).

Almost surely, 2^106268580 is an apocalyptic number.

106268580 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 106268580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177375744).

106268580 is an abundant number, since it is smaller than the sum of its proper divisors (248482908).

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

106268580 is a wasteful number, since it uses less digits than its factorization.

106268580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 106268580 is about 10308.6652870292. The cubic root of 106268580 is about 473.6617252095.

The spelling of 106268580 in words is "one hundred six million, two hundred sixty-eight thousand, five hundred eighty".