106561101019 has 16 divisors (see below), whose sum is σ = 112622903680. Its totient is φ = 100545001920.

The previous prime is 106561101013. The next prime is 106561101047. The reversal of 106561101019 is 910101165601.

It is a cyclic number.

It is not a de Polignac number, because 106561101019 - 2³ = 106561101011 is a prime.

It is a super-2 number, since 2×106561101019² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106561101011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14551879 + ... + 14559199.

It is an arithmetic number, because the mean of its divisors is an integer number (7038931480).

Almost surely, 2^106561101019 is an apocalyptic number.

106561101019 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

106561101019 is a deficient number, since it is larger than the sum of its proper divisors (6061802661).

106561101019 is a wasteful number, since it uses less digits than its factorization.

106561101019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10330.

The product of its (nonzero) digits is 1620, while the sum is 31.

The spelling of 106561101019 in words is "one hundred six billion, five hundred sixty-one million, one hundred one thousand, nineteen".