105105626556 has 48 divisors (see below), whose sum is σ = 280546076160. Its totient is φ = 30001849920.

The previous prime is 105105626543. The next prime is 105105626557. The reversal of 105105626556 is 655626501501.

It is a super-2 number, since 2×105105626556² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105105626557) 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, 500536 + ... + 678783.

It is an arithmetic number, because the mean of its divisors is an integer number (5844709920).

Almost surely, 2^105105626556 is an apocalyptic number.

It is an amenable number.

105105626556 is an abundant number, since it is smaller than the sum of its proper divisors (175440449604).

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

105105626556 is a wasteful number, since it uses less digits than its factorization.

105105626556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180394 (or 1180392 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 42.

The spelling of 105105626556 in words is "one hundred five billion, one hundred five million, six hundred twenty-six thousand, five hundred fifty-six".