1561667107100 has 72 divisors (see below), whose sum is σ = 3587200977360. Its totient is φ = 589100359680.

The previous prime is 1561667107097. The next prime is 1561667107249. The reversal of 1561667107100 is 17017661651.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6136997 + ... + 6386396.

Almost surely, 2^{1561667107100} is an apocalyptic number.

1561667107100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1561667107100 is an abundant number, since it is smaller than the sum of its proper divisors (2025533870260).

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

1561667107100 is a wasteful number, since it uses less digits than its factorization.

1561667107100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12523479 (or 12523472 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 41.

The spelling of 1561667107100 in words is "one trillion, five hundred sixty-one billion, six hundred sixty-seven million, one hundred seven thousand, one hundred".