106609248 has 72 divisors (see below), whose sum is σ = 312975936. Its totient is φ = 34387200.

The previous prime is 106609229. The next prime is 106609291. The reversal of 106609248 is 842906601.

106609248 is a `hidden beast` number, since 1 + 0 + 6 + 609 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106609248² = 22731063518251008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2958 + ... + 14898.

It is an arithmetic number, because the mean of its divisors is an integer number (4346888).

Almost surely, 2^106609248 is an apocalyptic number.

106609248 is a gapful number since it is divisible by the number (18) 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 106609248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156487968).

106609248 is an abundant number, since it is smaller than the sum of its proper divisors (206366688).

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

106609248 is a wasteful number, since it uses less digits than its factorization.

106609248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11988 (or 11977 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 106609248 is about 10325.1754464513. The cubic root of 106609248 is about 474.1673286287.

The spelling of 106609248 in words is "one hundred six million, six hundred nine thousand, two hundred forty-eight".