1105607361261 has 128 divisors (see below), whose sum is σ = 1785607649280. Its totient is φ = 601114411008.

The previous prime is 1105607361247. The next prime is 1105607361263. The reversal of 1105607361261 is 1621637065011.

It is not a de Polignac number, because 1105607361261 - 2¹⁰ = 1105607360237 is a prime.

It is a super-2 number, since 2×1105607361261² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105607361263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 958895661 + ... + 958896813.

It is an arithmetic number, because the mean of its divisors is an integer number (13950059760).

Almost surely, 2^{1105607361261} is an apocalyptic number.

It is an amenable number.

1105607361261 is a deficient number, since it is larger than the sum of its proper divisors (680000288019).

1105607361261 is a wasteful number, since it uses less digits than its factorization.

1105607361261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835.

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 1105607361261 in words is "one trillion, one hundred five billion, six hundred seven million, three hundred sixty-one thousand, two hundred sixty-one".