106430820 has 24 divisors (see below), whose sum is σ = 298006464. Its totient is φ = 28381536.

The previous prime is 106430813. The next prime is 106430851. The reversal of 106430820 is 28034601.

It is a happy number.

It is a super-2 number, since 2×106430820² = 22655038891744800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 886864 + ... + 886983.

It is an arithmetic number, because the mean of its divisors is an integer number (12416936).

Almost surely, 2^106430820 is an apocalyptic number.

106430820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106430820 is an abundant number, since it is smaller than the sum of its proper divisors (191575644).

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

106430820 is a wasteful number, since it uses less digits than its factorization.

106430820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773859 (or 1773857 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 106430820 is about 10316.5313938358. The cubic root of 106430820 is about 473.9026487390.

The spelling of 106430820 in words is "one hundred six million, four hundred thirty thousand, eight hundred twenty".