105207563496 has 128 divisors (see below), whose sum is σ = 317592576000. Its totient is φ = 28371140352.

The previous prime is 105207563449. The next prime is 105207563509. The reversal of 105207563496 is 694365702501.

It is a super-3 number, since 3×105207563496³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 797385 + ... + 919911.

It is an arithmetic number, because the mean of its divisors is an integer number (2481192000).

Almost surely, 2^105207563496 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 105207563496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158796288000).

105207563496 is an abundant number, since it is smaller than the sum of its proper divisors (212385012504).

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

105207563496 is a wasteful number, since it uses less digits than its factorization.

105207563496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122831 (or 122827 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 105207563496 in words is "one hundred five billion, two hundred seven million, five hundred sixty-three thousand, four hundred ninety-six".