105851248 has 40 divisors (see below), whose sum is σ = 219240432. Its totient is φ = 49333248.

The previous prime is 105851243. The next prime is 105851293. The reversal of 105851248 is 842158501.

It is a super-2 number, since 2×105851248² = 22408973406315008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105851243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27286 + ... + 30922.

Almost surely, 2^105851248 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 105851248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109620216).

105851248 is an abundant number, since it is smaller than the sum of its proper divisors (113389184).

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

105851248 is a wasteful number, since it uses less digits than its factorization.

105851248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 34.

The square root of 105851248 is about 10288.4035690675. The cubic root of 105851248 is about 473.0408658543.

The spelling of 105851248 in words is "one hundred five million, eight hundred fifty-one thousand, two hundred forty-eight".