106020000 has 360 divisors, whose sum is σ = 409368960. Its totient is φ = 25920000.

The previous prime is 106019971. The next prime is 106020011. The reversal of 106020000 is 20601.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×106020000² = 22480480800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3419985 + ... + 3420015.

It is an arithmetic number, because the mean of its divisors is an integer number (1137136).

Almost surely, 2^106020000 is an apocalyptic number.

106020000 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 106020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204684480).

106020000 is an abundant number, since it is smaller than the sum of its proper divisors (303348960).

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

106020000 is a wasteful number, since it uses less digits than its factorization.

106020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 106020000 is about 10296.6013810383. The cubic root of 106020000 is about 473.2921121721.

Adding to 106020000 its reverse (20601), we get a palindrome (106040601).

The spelling of 106020000 in words is "one hundred six million, twenty thousand".