106249248 has 108 divisors (see below), whose sum is σ = 351522990. Its totient is φ = 30352896.

The previous prime is 106249189. The next prime is 106249249. The reversal of 106249248 is 842942601.

106249248 is a `hidden beast` number, since 1 + 0 + 624 + 9 + 24 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96589584 + 9659664 = 9828^2 + 3108^2 .

It is a super-2 number, since 2×106249248² = 22577805401131008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106249249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10348 + ... + 17876.

Almost surely, 2^106249248 is an apocalyptic number.

106249248 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 106249248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175761495).

106249248 is an abundant number, since it is smaller than the sum of its proper divisors (245273742).

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

106249248 is a wasteful number, since it uses less digits than its factorization.

106249248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7559 (or 7541 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 106249248 is about 10307.7275866216. The cubic root of 106249248 is about 473.6330011853.

The spelling of 106249248 in words is "one hundred six million, two hundred forty-nine thousand, two hundred forty-eight".