105130548 has 84 divisors (see below), whose sum is σ = 284984448. Its totient is φ = 33883920.

The previous prime is 105130541. The next prime is 105130549. The reversal of 105130548 is 845031501.

105130548 is a `hidden beast` number, since 105 + 13 + 0 + 548 = 666.

It is a super-2 number, since 2×105130548² = 22104864245560608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105130541) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 89815 + ... + 90977.

It is an arithmetic number, because the mean of its divisors is an integer number (3392672).

Almost surely, 2^105130548 is an apocalyptic number.

105130548 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 105130548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142492224).

105130548 is an abundant number, since it is smaller than the sum of its proper divisors (179853900).

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

105130548 is a wasteful number, since it uses less digits than its factorization.

105130548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 105130548 is about 10253.3188773197. The cubic root of 105130548 is about 471.9648362677.

The spelling of 105130548 in words is "one hundred five million, one hundred thirty thousand, five hundred forty-eight".