105555061051 has 48 divisors (see below), whose sum is σ = 123063902208. Its totient is φ = 89769254400.

The previous prime is 105555061037. The next prime is 105555061067. The reversal of 105555061051 is 150160555501.

It is not a de Polignac number, because 105555061051 - 2¹¹ = 105555059003 is a prime.

It is a super-2 number, since 2×105555061051² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105555060998 and 105555061016.

It is not an unprimeable number, because it can be changed into a prime (105555061021) 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, 156842251 + ... + 156842923.

It is an arithmetic number, because the mean of its divisors is an integer number (2563831296).

Almost surely, 2^105555061051 is an apocalyptic number.

105555061051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105555061051 is a deficient number, since it is larger than the sum of its proper divisors (17508841157).

105555061051 is a wasteful number, since it uses less digits than its factorization.

105555061051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 34.

The spelling of 105555061051 in words is "one hundred five billion, five hundred fifty-five million, sixty-one thousand, fifty-one".