105440220501 has 24 divisors (see below), whose sum is σ = 176605111872. Its totient is φ = 54774139200.

The previous prime is 105440220481. The next prime is 105440220503. The reversal of 105440220501 is 105022044501.

It is not a de Polignac number, because 105440220501 - 2⁶ = 105440220437 is a prime.

It is a super-2 number, since 2×105440220501² (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 (105440220503) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20745240 + ... + 20750321.

It is an arithmetic number, because the mean of its divisors is an integer number (7358546328).

Almost surely, 2^105440220501 is an apocalyptic number.

105440220501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105440220501 is a deficient number, since it is larger than the sum of its proper divisors (71164891371).

105440220501 is a wasteful number, since it uses less digits than its factorization.

105440220501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41495593 (or 41495582 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 105440220501 in words is "one hundred five billion, four hundred forty million, two hundred twenty thousand, five hundred one".