105452016144 has 80 divisors (see below), whose sum is σ = 277782470784. Its totient is φ = 34463923200.

The previous prime is 105452016133. The next prime is 105452016149. The reversal of 105452016144 is 441610254501.

It is a super-2 number, since 2×105452016144² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105452016149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531372 + ... + 702324.

Almost surely, 2^105452016144 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 105452016144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138891235392).

105452016144 is an abundant number, since it is smaller than the sum of its proper divisors (172330454640).

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

105452016144 is a wasteful number, since it uses less digits than its factorization.

105452016144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171216 (or 171210 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 105452016144 in words is "one hundred five billion, four hundred fifty-two million, sixteen thousand, one hundred forty-four".