105541276544 has 32 divisors (see below), whose sum is σ = 229372379640. Its totient is φ = 47973306880.

The previous prime is 105541276543. The next prime is 105541276553. The reversal of 105541276544 is 445672145501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105541276544² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 105541276495 and 105541276504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105541276543) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 37477739 + ... + 37480554.

Almost surely, 2^105541276544 is an apocalyptic number.

It is an amenable number.

105541276544 is an abundant number, since it is smaller than the sum of its proper divisors (123831103096).

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

105541276544 is an equidigital number, since it uses as much as digits as its factorization.

105541276544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74958318 (or 74958306 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 44.

The spelling of 105541276544 in words is "one hundred five billion, five hundred forty-one million, two hundred seventy-six thousand, five hundred forty-four".