1005096136 has 128 divisors (see below), whose sum is σ = 2252759040. Its totient is φ = 415641600.

The previous prime is 1005096121. The next prime is 1005096137. The reversal of 1005096136 is 6316905001.

1005096136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 1005096098 and 1005096107.

It is not an unprimeable number, because it can be changed into a prime (1005096137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5207656 + ... + 5207848.

It is an arithmetic number, because the mean of its divisors is an integer number (17599680).

Almost surely, 2^1005096136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005096136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126379520).

1005096136 is an abundant number, since it is smaller than the sum of its proper divisors (1247662904).

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

1005096136 is a wasteful number, since it uses less digits than its factorization.

1005096136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 1005096136 is about 31703.2511897439. The cubic root of 1005096136 is about 1001.6958345196.

The spelling of 1005096136 in words is "one billion, five million, ninety-six thousand, one hundred thirty-six".