106262520 has 256 divisors, whose sum is σ = 404490240. Its totient is φ = 21731328.

The previous prime is 106262477. The next prime is 106262539. The reversal of 106262520 is 25262601.

It is a super-3 number, since 3×106262520³ (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 (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403909 + ... + 404171.

It is an arithmetic number, because the mean of its divisors is an integer number (1580040).

Almost surely, 2^106262520 is an apocalyptic number.

106262520 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 106262520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202245120).

106262520 is an abundant number, since it is smaller than the sum of its proper divisors (298227720).

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

106262520 is a wasteful number, since it uses less digits than its factorization.

106262520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 106262520 is about 10308.3713553597. The cubic root of 106262520 is about 473.6527214675.

The spelling of 106262520 in words is "one hundred six million, two hundred sixty-two thousand, five hundred twenty".