105061005605000 has 80 divisors (see below), whose sum is σ = 246998069051580. Its totient is φ = 41880973664000.

The previous prime is 105061005604993. The next prime is 105061005605027. The reversal of 105061005605000 is 506500160501.

It can be written as a sum of positive squares in 10 ways, for example, as 5697549398116 + 99363456206884 = 2386954^2 + 9968122^2 .

It is a super-2 number, since 2×105061005605000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34391999 + ... + 37321998.

Almost surely, 2^{105061005605000} is an apocalyptic number.

105061005605000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105061005605000 is an abundant number, since it is smaller than the sum of its proper divisors (141937063446580).

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

105061005605000 is an equidigital number, since it uses as much as digits as its factorization.

105061005605000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71714316 (or 71714297 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

Adding to 105061005605000 its reverse (506500160501), we get a palindrome (105567505765501).

The spelling of 105061005605000 in words is "one hundred five trillion, sixty-one billion, five million, six hundred five thousand".