1006105999956 has 24 divisors (see below), whose sum is σ = 2379739307904. Its totient is φ = 330774575040.

The previous prime is 1006105999949. The next prime is 1006105999957. The reversal of 1006105999956 is 6599995016001.

It is a super-4 number, since 4×1006105999956⁴ (a number of 49 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1006105999956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006105999957) 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, 574260540 + ... + 574262291.

It is an arithmetic number, because the mean of its divisors is an integer number (99155804496).

Almost surely, 2^{1006105999956} is an apocalyptic number.

It is an amenable number.

1006105999956 is an abundant number, since it is smaller than the sum of its proper divisors (1373633307948).

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

1006105999956 is a wasteful number, since it uses less digits than its factorization.

1006105999956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148522911 (or 1148522909 counting only the distinct ones).

The product of its (nonzero) digits is 5904900, while the sum is 60.

The spelling of 1006105999956 in words is "one trillion, six billion, one hundred five million, nine hundred ninety-nine thousand, nine hundred fifty-six".