10106100561048 has 64 divisors (see below), whose sum is σ = 25448293920000. Its totient is φ = 3344296954752.

The previous prime is 10106100561017. The next prime is 10106100561079. The reversal of 10106100561048 is 84016500160101.

It is an interprime number because it is at equal distance from previous prime (10106100561017) and next prime (10106100561079).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78521853 + ... + 78650451.

It is an arithmetic number, because the mean of its divisors is an integer number (397629592500).

Almost surely, 2^{10106100561048} is an apocalyptic number.

It is an amenable number.

10106100561048 is an abundant number, since it is smaller than the sum of its proper divisors (15342193358952).

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

10106100561048 is a wasteful number, since it uses less digits than its factorization.

10106100561048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152304 (or 152300 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 10106100561048 in words is "ten trillion, one hundred six billion, one hundred million, five hundred sixty-one thousand, forty-eight".