106123020 has 48 divisors (see below), whose sum is σ = 301227360. Its totient is φ = 27910656.

The previous prime is 106123001. The next prime is 106123021. The reversal of 106123020 is 20321601.

It is a super-2 number, since 2×106123020² = 22524190747840800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (106123021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7735 + ... + 16494.

It is an arithmetic number, because the mean of its divisors is an integer number (6275570).

Almost surely, 2^106123020 is an apocalyptic number.

106123020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106123020 is an abundant number, since it is smaller than the sum of its proper divisors (195104340).

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

106123020 is a wasteful number, since it uses less digits than its factorization.

106123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24314 (or 24312 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 106123020 is about 10301.6027879161. The cubic root of 106123020 is about 473.4453624047.

Adding to 106123020 its reverse (20321601), we get a palindrome (126444621).

The spelling of 106123020 in words is "one hundred six million, one hundred twenty-three thousand, twenty".