105404771752 has 32 divisors (see below), whose sum is σ = 227516051520. Its totient is φ = 44843736960.

The previous prime is 105404771741. The next prime is 105404771789. The reversal of 105404771752 is 257177404501.

It is a super-2 number, since 2×105404771752² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105404771699 and 105404771708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6861774 + ... + 6877117.

It is an arithmetic number, because the mean of its divisors is an integer number (7109876610).

Almost surely, 2^105404771752 is an apocalyptic number.

It is an amenable number.

105404771752 is an abundant number, since it is smaller than the sum of its proper divisors (122111279768).

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

105404771752 is a wasteful number, since it uses less digits than its factorization.

105404771752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13739041 (or 13739037 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 43.

The spelling of 105404771752 in words is "one hundred five billion, four hundred four million, seven hundred seventy-one thousand, seven hundred fifty-two".