105670775556 has 120 divisors (see below), whose sum is σ = 281337243264. Its totient is φ = 34576528320.

The previous prime is 105670775537. The next prime is 105670775557. The reversal of 105670775556 is 655577076501.

It is a happy number.

105670775556 is a `hidden beast` number, since 1 + 0 + 567 + 0 + 7 + 75 + 5 + 5 + 6 = 666.

It is a super-2 number, since 2×105670775556² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (105670775557) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10331461 + ... + 10341683.

Almost surely, 2^105670775556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105670775556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140668621632).

105670775556 is an abundant number, since it is smaller than the sum of its proper divisors (175666467708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105670775556 is a wasteful number, since it uses less digits than its factorization.

105670775556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10823 (or 10812 counting only the distinct ones).

The product of its (nonzero) digits is 7717500, while the sum is 54.

The spelling of 105670775556 in words is "one hundred five billion, six hundred seventy million, seven hundred seventy-five thousand, five hundred fifty-six".