105535041520 has 40 divisors (see below), whose sum is σ = 245411926560. Its totient is φ = 42206626560.

The previous prime is 105535041497. The next prime is 105535041529. The reversal of 105535041520 is 25140535501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105535041520² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105535041529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 356341 + ... + 581419.

It is an arithmetic number, because the mean of its divisors is an integer number (6135298164).

Almost surely, 2^105535041520 is an apocalyptic number.

105535041520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105535041520 is an abundant number, since it is smaller than the sum of its proper divisors (139876885040).

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

105535041520 is a wasteful number, since it uses less digits than its factorization.

105535041520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230953 (or 230947 counting only the distinct ones).

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

The spelling of 105535041520 in words is "one hundred five billion, five hundred thirty-five million, forty-one thousand, five hundred twenty".