106005020 has 48 divisors (see below), whose sum is σ = 244532736. Its totient is φ = 38280000.

The previous prime is 106004993. The next prime is 106005023. The reversal of 106005020 is 20500601.

It is a super-2 number, since 2×106005020² = 22474128530400800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106004986 and 106005004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106005023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31625 + ... + 34815.

It is an arithmetic number, because the mean of its divisors is an integer number (5094432).

Almost surely, 2^106005020 is an apocalyptic number.

106005020 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 106005020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122266368).

106005020 is an abundant number, since it is smaller than the sum of its proper divisors (138527716).

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

106005020 is a wasteful number, since it uses less digits than its factorization.

106005020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 106005020 is about 10295.8739308521. The cubic root of 106005020 is about 473.2698199952.

Adding to 106005020 its reverse (20500601), we get a palindrome (126505621).

The spelling of 106005020 in words is "one hundred six million, five thousand, twenty".