105048000 has 168 divisors, whose sum is σ = 376031760. Its totient is φ = 27993600.

The previous prime is 105047989. The next prime is 105048023. The reversal of 105048000 is 840501.

It is a super-2 number, since 2×105048000² = 22070164608000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71271 + ... + 72729.

Almost surely, 2^105048000 is an apocalyptic number.

105048000 is a gapful number since it is divisible by the number (10) 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 105048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188015880).

105048000 is an abundant number, since it is smaller than the sum of its proper divisors (270983760).

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

105048000 is a wasteful number, since it uses less digits than its factorization.

105048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 105048000 is about 10249.2926585204. The cubic root of 105048000 is about 471.8412757501.

Adding to 105048000 its reverse (840501), we get a palindrome (105888501).

The spelling of 105048000 in words is "one hundred five million, forty-eight thousand".