1106019715261 has 48 divisors (see below), whose sum is σ = 1223473692672. Its totient is φ = 998176687200.

The previous prime is 1106019715253. The next prime is 1106019715303. The reversal of 1106019715261 is 1625179106011.

It is a happy number.

It is not a de Polignac number, because 1106019715261 - 2³ = 1106019715253 is a prime.

It is a super-2 number, since 2×1106019715261² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106029715261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523930596 + ... + 523932706.

It is an arithmetic number, because the mean of its divisors is an integer number (25489035264).

Almost surely, 2^{1106019715261} is an apocalyptic number.

It is an amenable number.

1106019715261 is a deficient number, since it is larger than the sum of its proper divisors (117453977411).

1106019715261 is a wasteful number, since it uses less digits than its factorization.

1106019715261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 40.

The spelling of 1106019715261 in words is "one trillion, one hundred six billion, nineteen million, seven hundred fifteen thousand, two hundred sixty-one".