10605601101040 has 40 divisors (see below), whose sum is σ = 26899660976688. Its totient is φ = 3856582218240.

The previous prime is 10605601101023. The next prime is 10605601101047. The reversal of 10605601101040 is 4010110650601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10605601101040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10605601100996 and 10605601101014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10605601101047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6025908837 + ... + 6025910596.

Almost surely, 2^{10605601101040} is an apocalyptic number.

10605601101040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10605601101040 is an abundant number, since it is smaller than the sum of its proper divisors (16294059875648).

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

10605601101040 is a wasteful number, since it uses less digits than its factorization.

10605601101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12051819457 (or 12051819451 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

Adding to 10605601101040 its reverse (4010110650601), we get a palindrome (14615711751641).

The spelling of 10605601101040 in words is "ten trillion, six hundred five billion, six hundred one million, one hundred one thousand, forty".