106036830900 has 432 divisors, whose sum is σ = 446258187648. Its totient is φ = 20338560000.

The previous prime is 106036830899. The next prime is 106036830901. The reversal of 106036830900 is 9038630601.

It is a happy number.

106036830900 is a `hidden beast` number, since 10 + 603 + 6 + 8 + 30 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106036830899) and next prime (106036830901).

It is a super-2 number, since 2×106036830900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106036830901) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 842050 + ... + 959750.

It is an arithmetic number, because the mean of its divisors is an integer number (1033005064).

Almost surely, 2^106036830900 is an apocalyptic number.

106036830900 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 106036830900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223129093824).

106036830900 is an abundant number, since it is smaller than the sum of its proper divisors (340221356748).

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

106036830900 is a wasteful number, since it uses less digits than its factorization.

106036830900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117752 (or 117742 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 106036830900 in words is "one hundred six billion, thirty-six million, eight hundred thirty thousand, nine hundred".