106051051561 has 64 divisors (see below), whose sum is σ = 135796953600. Its totient is φ = 80604665856.

The previous prime is 106051051549. The next prime is 106051051583. The reversal of 106051051561 is 165150150601.

It is not a de Polignac number, because 106051051561 - 2¹⁷ = 106050920489 is a prime.

It is a super-2 number, since 2×106051051561² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106051051061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45928275 + ... + 45930583.

It is an arithmetic number, because the mean of its divisors is an integer number (2121827400).

Almost surely, 2^106051051561 is an apocalyptic number.

It is an amenable number.

106051051561 is a deficient number, since it is larger than the sum of its proper divisors (29745902039).

106051051561 is a wasteful number, since it uses less digits than its factorization.

106051051561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578.

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 106051051561 in words is "one hundred six billion, fifty-one million, fifty-one thousand, five hundred sixty-one".