106835301720 has 288 divisors, whose sum is σ = 404381484000. Its totient is φ = 24390567936.

The previous prime is 106835301701. The next prime is 106835301731. The reversal of 106835301720 is 27103538601.

106835301720 is a `hidden beast` number, since 10 + 6 + 83 + 530 + 17 + 20 = 666.

It is a super-2 number, since 2×106835301720² (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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17231181 + ... + 17237379.

It is an arithmetic number, because the mean of its divisors is an integer number (1404102375).

Almost surely, 2^106835301720 is an apocalyptic number.

106835301720 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 106835301720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202190742000).

106835301720 is an abundant number, since it is smaller than the sum of its proper divisors (297546182280).

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

106835301720 is a wasteful number, since it uses less digits than its factorization.

106835301720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7207 (or 7193 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 106835301720 in words is "one hundred six billion, eight hundred thirty-five million, three hundred one thousand, seven hundred twenty".