10605095552142 has 320 divisors, whose sum is σ = 31027113621504. Its totient is φ = 2627356124160.

The previous prime is 10605095552137. The next prime is 10605095552153. The reversal of 10605095552142 is 24125559050601.

10605095552142 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 5 + 0 + 95 + 552 + 1 + 4 + 2 = 666.

It is a super-2 number, since 2×10605095552142² (a number of 27 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 159 ways as a sum of consecutive naturals, for example, 131030667 + ... + 131111577.

Almost surely, 2^{10605095552142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10605095552142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15513556810752).

10605095552142 is an abundant number, since it is smaller than the sum of its proper divisors (20422018069362).

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

10605095552142 is a wasteful number, since it uses less digits than its factorization.

10605095552142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81485 (or 81476 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 10605095552142 in words is "ten trillion, six hundred five billion, ninety-five million, five hundred fifty-two thousand, one hundred forty-two".