106509685204920 has 384 divisors, whose sum is σ = 331483983667200. Its totient is φ = 27375123087360.

The previous prime is 106509685204903. The next prime is 106509685204943. The reversal of 106509685204920 is 29402586905601.

It is a super-2 number, since 2×106509685204920² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8996504361 + ... + 8996516199.

It is an arithmetic number, because the mean of its divisors is an integer number (863239540800).

Almost surely, 2^{106509685204920} is an apocalyptic number.

106509685204920 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 106509685204920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165741991833600).

106509685204920 is an abundant number, since it is smaller than the sum of its proper divisors (224974298462280).

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

106509685204920 is a wasteful number, since it uses less digits than its factorization.

106509685204920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12471 (or 12426 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 106509685204920 in words is "one hundred six trillion, five hundred nine billion, six hundred eighty-five million, two hundred four thousand, nine hundred twenty".