106261824 has 28 divisors (see below), whose sum is σ = 281151584. Its totient is φ = 35420544.

The previous prime is 106261801. The next prime is 106261847. The reversal of 106261824 is 428162601.

It is an interprime number because it is at equal distance from previous prime (106261801) and next prime (106261847).

It is a super-2 number, since 2×106261824² = 22583150479613952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106261791 and 106261800.

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, 276532 + ... + 276915.

It is an arithmetic number, because the mean of its divisors is an integer number (10041128).

Almost surely, 2^106261824 is an apocalyptic number.

It is an amenable number.

106261824 is an abundant number, since it is smaller than the sum of its proper divisors (174889760).

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

106261824 is an equidigital number, since it uses as much as digits as its factorization.

106261824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553462 (or 553452 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 106261824 is about 10308.3375963343. The cubic root of 106261824 is about 473.6516873525.

The spelling of 106261824 in words is "one hundred six million, two hundred sixty-one thousand, eight hundred twenty-four".