105525585850 has 48 divisors (see below), whose sum is σ = 205479223488. Its totient is φ = 40243357440.

The previous prime is 105525585829. The next prime is 105525585863. The reversal of 105525585850 is 58585525501.

It is a super-2 number, since 2×105525585850² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105525585794 and 105525585803.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203602 + ... + 502498.

It is an arithmetic number, because the mean of its divisors is an integer number (4280817156).

Almost surely, 2^105525585850 is an apocalyptic number.

105525585850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105525585850 is a deficient number, since it is larger than the sum of its proper divisors (99953637638).

105525585850 is a wasteful number, since it uses less digits than its factorization.

105525585850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299239 (or 299234 counting only the distinct ones).

The product of its (nonzero) digits is 2000000, while the sum is 49.

The spelling of 105525585850 in words is "one hundred five billion, five hundred twenty-five million, five hundred eighty-five thousand, eight hundred fifty".