105019152 has 60 divisors (see below), whose sum is σ = 315600336. Its totient is φ = 30004800.

The previous prime is 105019133. The next prime is 105019157. The reversal of 105019152 is 251910501.

It is a super-2 number, since 2×105019152² = 22058044573598208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (105019157) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 19974 + ... + 24677.

Almost surely, 2^105019152 is an apocalyptic number.

105019152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105019152 is an abundant number, since it is smaller than the sum of its proper divisors (210581184).

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

105019152 is a wasteful number, since it uses less digits than its factorization.

105019152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44676 (or 44663 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 24.

The square root of 105019152 is about 10247.8852452591. The cubic root of 105019152 is about 471.7980798673.

Adding to 105019152 its reverse (251910501), we get a palindrome (356929653).

It can be divided in two parts, 1050 and 19152, that added together give a palindrome (20202).

The spelling of 105019152 in words is "one hundred five million, nineteen thousand, one hundred fifty-two".