105248000 has 288 divisors, whose sum is σ = 321414912. Its totient is φ = 33792000.

The previous prime is 105247991. The next prime is 105248021. The reversal of 105248000 is 842501.

It is a super-2 number, since 2×105248000² = 22154283008000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4575989 + ... + 4576011.

It is an arithmetic number, because the mean of its divisors is an integer number (1116024).

Almost surely, 2^105248000 is an apocalyptic number.

105248000 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 105248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160707456).

105248000 is an abundant number, since it is smaller than the sum of its proper divisors (216166912).

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

105248000 is a wasteful number, since it uses less digits than its factorization.

105248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 105248000 is about 10259.0447898428. The cubic root of 105248000 is about 472.1405307873.

The spelling of 105248000 in words is "one hundred five million, two hundred forty-eight thousand".