106126020 has 576 divisors, whose sum is σ = 469647360. Its totient is φ = 18662400.

The previous prime is 106125977. The next prime is 106126049. The reversal of 106126020 is 20621601.

It is a happy number.

106126020 is a `hidden beast` number, since 1 + 0 + 61 + 2 + 602 + 0 = 666.

It is a super-2 number, since 2×106126020² = 22525464242080800, 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 = 106125984 and 106126002.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 3423405 + ... + 3423435.

It is an arithmetic number, because the mean of its divisors is an integer number (815360).

Almost surely, 2^106126020 is an apocalyptic number.

106126020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106126020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234823680).

106126020 is an abundant number, since it is smaller than the sum of its proper divisors (363521340).

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

106126020 is a wasteful number, since it uses less digits than its factorization.

106126020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106126020 is about 10301.7483952968. The cubic root of 106126020 is about 473.4498236507.

Adding to 106126020 its reverse (20621601), we get a palindrome (126747621).

The spelling of 106126020 in words is "one hundred six million, one hundred twenty-six thousand, twenty".