1005106734 has 24 divisors (see below), whose sum is σ = 2218822632. Its totient is φ = 328713840.

The previous prime is 1005106733. The next prime is 1005106757. The reversal of 1005106734 is 4376015001.

It is a junction number, because it is equal to n+sod(n) for n = 1005106698 and 1005106707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005106733) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 525832 + ... + 527739.

It is an arithmetic number, because the mean of its divisors is an integer number (92450943).

Almost surely, 2^1005106734 is an apocalyptic number.

1005106734 is an abundant number, since it is smaller than the sum of its proper divisors (1213715898).

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

1005106734 is a wasteful number, since it uses less digits than its factorization.

1005106734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053632 (or 1053629 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1005106734 is about 31703.4183330442. The cubic root of 1005106734 is about 1001.6993552227.

The spelling of 1005106734 in words is "one billion, five million, one hundred six thousand, seven hundred thirty-four".