106813721520 has 1120 divisors, whose sum is σ = 432800299008. Its totient is φ = 24261120000.

The previous prime is 106813721503. The next prime is 106813721557. The reversal of 106813721520 is 25127318601.

106813721520 is a `hidden beast` number, since 1 + 0 + 6 + 81 + 37 + 21 + 520 = 666.

It is a super-2 number, since 2×106813721520² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 815371855 + ... + 815371985.

Almost surely, 2^106813721520 is an apocalyptic number.

106813721520 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 106813721520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216400149504).

106813721520 is an abundant number, since it is smaller than the sum of its proper divisors (325986577488).

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

106813721520 is a wasteful number, since it uses less digits than its factorization.

106813721520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 106813721520 in words is "one hundred six billion, eight hundred thirteen million, seven hundred twenty-one thousand, five hundred twenty".