1082729055105 has 64 divisors (see below), whose sum is σ = 1928872465920. Its totient is φ = 576250391808.

The previous prime is 1082729055097. The next prime is 1082729055113. The reversal of 1082729055105 is 5015509272801.

1082729055105 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 7 + 2 + 90 + 551 + 0 + 5 = 666.

1082729055105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1082729055097) and next prime (1082729055113).

It is not a de Polignac number, because 1082729055105 - 2³ = 1082729055097 is a prime.

It is a super-2 number, since 2×1082729055105² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228759319 + ... + 228764051.

It is an arithmetic number, because the mean of its divisors is an integer number (30138632280).

Almost surely, 2^{1082729055105} is an apocalyptic number.

1082729055105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1082729055105 is a deficient number, since it is larger than the sum of its proper divisors (846143410815).

1082729055105 is a wasteful number, since it uses less digits than its factorization.

1082729055105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7927 (or 7921 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 1082729055105 in words is "one trillion, eighty-two billion, seven hundred twenty-nine million, fifty-five thousand, one hundred five".