106200020 has 24 divisors (see below), whose sum is σ = 236139624. Its totient is φ = 39981056.

The previous prime is 106200019. The next prime is 106200041. The reversal of 106200020 is 20002601.

It can be written as a sum of positive squares in 4 ways, for example, as 18627856 + 87572164 = 4316^2 + 9358^2 .

It is a super-2 number, since 2×106200020² = 22556888496000800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106199974 and 106200010.

It is a congruent number.

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, 155837 + ... + 156516.

It is an arithmetic number, because the mean of its divisors is an integer number (9839151).

Almost surely, 2^106200020 is an apocalyptic number.

106200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106200020 is an abundant number, since it is smaller than the sum of its proper divisors (129939604).

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

106200020 is a wasteful number, since it uses less digits than its factorization.

106200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312379 (or 312377 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 106200020 is about 10305.3393927614. The cubic root of 106200020 is about 473.5598411152.

Adding to 106200020 its reverse (20002601), we get a palindrome (126202621).

The spelling of 106200020 in words is "one hundred six million, two hundred thousand, twenty".