106029008 has 20 divisors (see below), whose sum is σ = 206744580. Its totient is φ = 52675584.

The previous prime is 106028971. The next prime is 106029023. The reversal of 106029008 is 800920601.

It can be written as a sum of positive squares in 2 ways, for example, as 58859584 + 47169424 = 7672^2 + 6868^2 .

It is a super-2 number, since 2×106029008² = 22484301074928128, which contains 22 as substring.

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, 18593 + ... + 23616.

It is an arithmetic number, because the mean of its divisors is an integer number (10337229).

Almost surely, 2^106029008 is an apocalyptic number.

It is an amenable number.

106029008 is a deficient number, since it is larger than the sum of its proper divisors (100715572).

106029008 is a wasteful number, since it uses less digits than its factorization.

106029008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42374 (or 42368 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 106029008 is about 10297.0387976350. The cubic root of 106029008 is about 473.3055162299.

Adding to 106029008 its reverse (800920601), we get a palindrome (906949609).

The spelling of 106029008 in words is "one hundred six million, twenty-nine thousand, eight".