105534648 has 96 divisors (see below), whose sum is σ = 294053760. Its totient is φ = 34182720.

The previous prime is 105534647. The next prime is 105534661. The reversal of 105534648 is 846435501.

It is a happy number.

105534648 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 3 + 4 + 648 = 666.

It is a super-2 number, since 2×105534648² = 22275123856967808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105534643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 631861 + ... + 632027.

It is an arithmetic number, because the mean of its divisors is an integer number (3063060).

Almost surely, 2^105534648 is an apocalyptic number.

105534648 is a gapful number since it is divisible by the number (18) 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 105534648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147026880).

105534648 is an abundant number, since it is smaller than the sum of its proper divisors (188519112).

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

105534648 is a wasteful number, since it uses less digits than its factorization.

105534648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 105534648 is about 10273.0057918800. The cubic root of 105534648 is about 472.5687747375.

The spelling of 105534648 in words is "one hundred five million, five hundred thirty-four thousand, six hundred forty-eight".