105485501552 has 40 divisors (see below), whose sum is σ = 211717178400. Its totient is φ = 50853825792.

The previous prime is 105485501521. The next prime is 105485501617. The reversal of 105485501552 is 255105584501.

It is a super-2 number, since 2×105485501552² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 180974 + ... + 493682.

It is an arithmetic number, because the mean of its divisors is an integer number (5292929460).

Almost surely, 2^105485501552 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 105485501552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105858589200).

105485501552 is an abundant number, since it is smaller than the sum of its proper divisors (106231676848).

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

105485501552 is a wasteful number, since it uses less digits than its factorization.

105485501552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313473 (or 313467 counting only the distinct ones).

The product of its (nonzero) digits is 200000, while the sum is 41.

The spelling of 105485501552 in words is "one hundred five billion, four hundred eighty-five million, five hundred one thousand, five hundred fifty-two".