105144512 has 56 divisors (see below), whose sum is σ = 228947472. Its totient is φ = 47513600.

The previous prime is 105144509. The next prime is 105144521. The reversal of 105144512 is 215441501.

It is a super-2 number, since 2×105144512² = 22110736807436288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163712 + ... + 164352.

Almost surely, 2^105144512 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 105144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114473736).

105144512 is an abundant number, since it is smaller than the sum of its proper divisors (123802960).

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

105144512 is a wasteful number, since it uses less digits than its factorization.

105144512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 105144512 is about 10253.9998049542. Note that the first 3 decimals coincide. The cubic root of 105144512 is about 471.9857316380.

The spelling of 105144512 in words is "one hundred five million, one hundred forty-four thousand, five hundred twelve".