105535122520 has 64 divisors (see below), whose sum is σ = 240790605120. Its totient is φ = 41624408064.

The previous prime is 105535122499. The next prime is 105535122541. The reversal of 105535122520 is 25221535501.

105535122520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (105535122499) and next prime (105535122541).

It is a super-2 number, since 2×105535122520² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 904992 + ... + 1014928.

It is an arithmetic number, because the mean of its divisors is an integer number (3762353205).

Almost surely, 2^105535122520 is an apocalyptic number.

105535122520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105535122520 is an abundant number, since it is smaller than the sum of its proper divisors (135255482600).

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

105535122520 is a wasteful number, since it uses less digits than its factorization.

105535122520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110284 (or 110280 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 31.

The spelling of 105535122520 in words is "one hundred five billion, five hundred thirty-five million, one hundred twenty-two thousand, five hundred twenty".