106024000 has 112 divisors (see below), whose sum is σ = 272216880. Its totient is φ = 40857600.

The previous prime is 106023989. The next prime is 106024013. The reversal of 106024000 is 420601.

It can be written as a sum of positive squares in 8 ways, for example, as 15241216 + 90782784 = 3904^2 + 9528^2 .

It is a super-2 number, since 2×106024000² = 22482177152000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231772 + ... + 232228.

Almost surely, 2^106024000 is an apocalyptic number.

106024000 is a gapful number since it is divisible by the number (10) 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 106024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136108440).

106024000 is an abundant number, since it is smaller than the sum of its proper divisors (166192880).

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

106024000 is an equidigital number, since it uses as much as digits as its factorization.

106024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 106024000 is about 10296.7956180552. The cubic root of 106024000 is about 473.2980643341.

Adding to 106024000 its reverse (420601), we get a palindrome (106444601).

The spelling of 106024000 in words is "one hundred six million, twenty-four thousand".