10061005106100 has 72 divisors (see below), whose sum is σ = 31349060024800. Its totient is φ = 2476555102080.

The previous prime is 10061005106093. The next prime is 10061005106101. The reversal of 10061005106100 is 160150016001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10061005106101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1289868550 + ... + 1289876349.

Almost surely, 2^{10061005106100} is an apocalyptic number.

10061005106100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10061005106100 is an abundant number, since it is smaller than the sum of its proper divisors (21288054918700).

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

10061005106100 is a wasteful number, since it uses less digits than its factorization.

10061005106100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579744929 (or 2579744922 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 10061005106100 in words is "ten trillion, sixty-one billion, five million, one hundred six thousand, one hundred".