105151024 has 40 divisors (see below), whose sum is σ = 223177680. Its totient is φ = 47596800.

The previous prime is 105150989. The next prime is 105151051. The reversal of 105151024 is 420151501.

It is a super-2 number, since 2×105151024² = 22113475696497152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105150992 and 105151010.

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 7 ways as a sum of consecutive naturals, for example, 46234 + ... + 48454.

It is an arithmetic number, because the mean of its divisors is an integer number (5579442).

Almost surely, 2^105151024 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 105151024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111588840).

105151024 is an abundant number, since it is smaller than the sum of its proper divisors (118026656).

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

105151024 is a wasteful number, since it uses less digits than its factorization.

105151024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 105151024 is about 10254.3173346645. The cubic root of 105151024 is about 471.9954753947.

The spelling of 105151024 in words is "one hundred five million, one hundred fifty-one thousand, twenty-four".