10106000555561 has 8 divisors (see below), whose sum is σ = 10200758630400. Its totient is φ = 10011248211888.

The previous prime is 10106000555509. The next prime is 10106000555603. The reversal of 10106000555561 is 16555500060101.

10106000555561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 10106000555561 - 2¹⁰ = 10106000554537 is a prime.

It is a super-4 number, since 4×10106000555561⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10106000555461) 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, 2152280 + ... + 4984406.

It is an arithmetic number, because the mean of its divisors is an integer number (1275094828800).

Almost surely, 2^{10106000555561} is an apocalyptic number.

It is an amenable number.

10106000555561 is a deficient number, since it is larger than the sum of its proper divisors (94758074839).

10106000555561 is a wasteful number, since it uses less digits than its factorization.

10106000555561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865583.

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 10106000555561 in words is "ten trillion, one hundred six billion, five hundred fifty-five thousand, five hundred sixty-one".