105007772555 has 16 divisors (see below), whose sum is σ = 144051158784. Its totient is φ = 71985080160.

The previous prime is 105007772533. The next prime is 105007772561. The reversal of 105007772555 is 555277700501.

It is not a de Polignac number, because 105007772555 - 2⁶ = 105007772491 is a prime.

It is a super-2 number, since 2×105007772555² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295097 + ... + 545066.

It is an arithmetic number, because the mean of its divisors is an integer number (9003197424).

Almost surely, 2^105007772555 is an apocalyptic number.

105007772555 is a deficient number, since it is larger than the sum of its proper divisors (39043386229).

105007772555 is an equidigital number, since it uses as much as digits as its factorization.

105007772555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843746.

The product of its (nonzero) digits is 428750, while the sum is 44.

The spelling of 105007772555 in words is "one hundred five billion, seven million, seven hundred seventy-two thousand, five hundred fifty-five".