105515606020 has 96 divisors (see below), whose sum is σ = 242850585600. Its totient is φ = 38191357440.

The previous prime is 105515606011. The next prime is 105515606059. The reversal of 105515606020 is 20606515501.

It is a super-2 number, since 2×105515606020² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67335277 + ... + 67336843.

It is an arithmetic number, because the mean of its divisors is an integer number (2529693600).

Almost surely, 2^105515606020 is an apocalyptic number.

105515606020 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 105515606020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121425292800).

105515606020 is an abundant number, since it is smaller than the sum of its proper divisors (137334979580).

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

105515606020 is a wasteful number, since it uses less digits than its factorization.

105515606020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 105515606020 in words is "one hundred five billion, five hundred fifteen million, six hundred six thousand, twenty".