106508844 has 72 divisors (see below), whose sum is σ = 300714960. Its totient is φ = 32768064.

The previous prime is 106508821. The next prime is 106508861. The reversal of 106508844 is 448805601.

106508844 is a `hidden beast` number, since 106 + 508 + 8 + 44 = 666.

It is a super-2 number, since 2×106508844² = 22688267700432672, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106508799 and 106508808.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8422 + ... + 16850.

Almost surely, 2^106508844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106508844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150357480).

106508844 is an abundant number, since it is smaller than the sum of its proper divisors (194206116).

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

106508844 is a wasteful number, since it uses less digits than its factorization.

106508844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8461 (or 8447 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 106508844 is about 10320.3122045799. The cubic root of 106508844 is about 474.0184258179.

The spelling of 106508844 in words is "one hundred six million, five hundred eight thousand, eight hundred forty-four".