105648254544 has 80 divisors (see below), whose sum is σ = 312387863040. Its totient is φ = 30139347840.

The previous prime is 105648254513. The next prime is 105648254549. The reversal of 105648254544 is 445452846501.

It is a super-2 number, since 2×105648254544² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 105648254493 and 105648254502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105648254549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17142 + ... + 459989.

It is an arithmetic number, because the mean of its divisors is an integer number (3904848288).

Almost surely, 2^105648254544 is an apocalyptic number.

105648254544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105648254544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156193931520).

105648254544 is an abundant number, since it is smaller than the sum of its proper divisors (206739608496).

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

105648254544 is a wasteful number, since it uses less digits than its factorization.

105648254544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477808 (or 477802 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 48.

The spelling of 105648254544 in words is "one hundred five billion, six hundred forty-eight million, two hundred fifty-four thousand, five hundred forty-four".