106249460 has 12 divisors (see below), whose sum is σ = 223123908. Its totient is φ = 42499776.

The previous prime is 106249457. The next prime is 106249477. The reversal of 106249460 is 64942601.

It is a happy number.

106249460 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 43586404 + 62663056 = 6602^2 + 7916^2 .

It is a super-3 number, since 3×106249460³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

106249460 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2656217 + ... + 2656256.

It is an arithmetic number, because the mean of its divisors is an integer number (18593659).

Almost surely, 2^106249460 is an apocalyptic number.

106249460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106249460 is an abundant number, since it is smaller than the sum of its proper divisors (116874448).

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

106249460 is a wasteful number, since it uses less digits than its factorization.

106249460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5312482 (or 5312480 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 106249460 is about 10307.7378701634. The cubic root of 106249460 is about 473.6333161997.

The spelling of 106249460 in words is "one hundred six million, two hundred forty-nine thousand, four hundred sixty".