105635574221540 has 24 divisors (see below), whose sum is σ = 242001497308032. Its totient is φ = 38412936080480.

The previous prime is 105635574221521. The next prime is 105635574221603. The reversal of 105635574221540 is 45122475536501.

It is a happy number.

It is a super-2 number, since 2×105635574221540² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240080850284 + ... + 240080850723.

It is an arithmetic number, because the mean of its divisors is an integer number (10083395721168).

Almost surely, 2^{105635574221540} is an apocalyptic number.

105635574221540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105635574221540 is an abundant number, since it is smaller than the sum of its proper divisors (136365923086492).

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

105635574221540 is a wasteful number, since it uses less digits than its factorization.

105635574221540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480161701027 (or 480161701025 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 50.

The spelling of 105635574221540 in words is "one hundred five trillion, six hundred thirty-five billion, five hundred seventy-four million, two hundred twenty-one thousand, five hundred forty".