100105610105561 has 8 divisors (see below), whose sum is σ = 101821116406464. Its totient is φ = 98392504795920.

The previous prime is 100105610105551. The next prime is 100105610105581. The reversal of 100105610105561 is 165501016501001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100105610105561 is a prime.

It is a super-2 number, since 2×100105610105561² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100105610105551) 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, 600163715 + ... + 600330488.

It is an arithmetic number, because the mean of its divisors is an integer number (12727639550808).

Almost surely, 2^{100105610105561} is an apocalyptic number.

It is an amenable number.

100105610105561 is a deficient number, since it is larger than the sum of its proper divisors (1715506300903).

100105610105561 is a wasteful number, since it uses less digits than its factorization.

100105610105561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200495631.

The product of its (nonzero) digits is 4500, while the sum is 32.

Adding to 100105610105561 its reverse (165501016501001), we get a palindrome (265606626606562).

The spelling of 100105610105561 in words is "one hundred trillion, one hundred five billion, six hundred ten million, one hundred five thousand, five hundred sixty-one".