105484848 has 160 divisors (see below), whose sum is σ = 327360000. Its totient is φ = 29240064.

The previous prime is 105484837. The next prime is 105484849. The reversal of 105484848 is 848484501.

It is a super-2 number, since 2×105484848² = 22254106315166208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (105484849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707878 + ... + 708026.

It is an arithmetic number, because the mean of its divisors is an integer number (2046000).

Almost surely, 2^105484848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105484848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163680000).

105484848 is an abundant number, since it is smaller than the sum of its proper divisors (221875152).

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

105484848 is a wasteful number, since it uses less digits than its factorization.

105484848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

The square root of 105484848 is about 10270.5816777824. The cubic root of 105484848 is about 472.4944306614.

The spelling of 105484848 in words is "one hundred five million, four hundred eighty-four thousand, eight hundred forty-eight".