106561019 has 8 divisors (see below), whose sum is σ = 107927040. Its totient is φ = 105201576.

The previous prime is 106561003. The next prime is 106561031. The reversal of 106561019 is 910165601.

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 106561019 - 2⁴ = 106561003 is a prime.

It is a super-2 number, since 2×106561019² = 22710501540636722, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106560982 and 106561000.

It is not an unprimeable number, because it can be changed into a prime (106561319) 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, 36392 + ... + 39210.

It is an arithmetic number, because the mean of its divisors is an integer number (13490880).

Almost surely, 2^106561019 is an apocalyptic number.

106561019 is a deficient number, since it is larger than the sum of its proper divisors (1366021).

106561019 is a wasteful number, since it uses less digits than its factorization.

106561019 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289.

The product of its (nonzero) digits is 1620, while the sum is 29.

The square root of 106561019 is about 10322.8396771431. The cubic root of 106561019 is about 474.0958149282.

The spelling of 106561019 in words is "one hundred six million, five hundred sixty-one thousand, nineteen".