106005024 has 60 divisors (see below), whose sum is σ = 311765454. Its totient is φ = 35334144.

The previous prime is 106005023. The next prime is 106005061. The reversal of 106005024 is 420500601.

It is a happy number.

106005024 is a `hidden beast` number, since 10 + 600 + 50 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71571600 + 34433424 = 8460^2 + 5868^2 .

It is a super-2 number, since 2×106005024² = 22474130226481152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 106004988 and 106005006.

It is not an unprimeable number, because it can be changed into a prime (106005023) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17857 + ... + 23040.

Almost surely, 2^106005024 is an apocalyptic number.

It is an amenable number.

106005024 is an abundant number, since it is smaller than the sum of its proper divisors (205760430).

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

106005024 is an equidigital number, since it uses as much as digits as its factorization.

106005024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40919 (or 40902 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 106005024 is about 10295.8741251047. The cubic root of 106005024 is about 473.2698259480.

Adding to 106005024 its reverse (420500601), we get a palindrome (526505625).

The spelling of 106005024 in words is "one hundred six million, five thousand, twenty-four".