105148484 has 24 divisors (see below), whose sum is σ = 210809088. Its totient is φ = 44953920.

The previous prime is 105148429. The next prime is 105148493. The reversal of 105148484 is 484841501.

105148484 = 263² + 264² + ... + 693².

It is a happy number.

It is a super-2 number, since 2×105148484² = 22112407374996512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7712 + ... + 16424.

It is an arithmetic number, because the mean of its divisors is an integer number (8783712).

Almost surely, 2^105148484 is an apocalyptic number.

105148484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105148484 is an abundant number, since it is smaller than the sum of its proper divisors (105660604).

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

105148484 is a wasteful number, since it uses less digits than its factorization.

105148484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9155 (or 9153 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 105148484 is about 10254.1934836437. The cubic root of 105148484 is about 471.9916748986.

Adding to 105148484 its reverse (484841501), we get a palindrome (589989985).

The spelling of 105148484 in words is "one hundred five million, one hundred forty-eight thousand, four hundred eighty-four".