10005156084 has 96 divisors (see below), whose sum is σ = 29138328576. Its totient is φ = 2595847680.

The previous prime is 10005156071. The next prime is 10005156121. The reversal of 10005156084 is 48065150001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 897207 + ... + 908289.

It is an arithmetic number, because the mean of its divisors is an integer number (303524256).

Almost surely, 2^10005156084 is an apocalyptic number.

10005156084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10005156084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14569164288).

10005156084 is an abundant number, since it is smaller than the sum of its proper divisors (19133172492).

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

10005156084 is a wasteful number, since it uses less digits than its factorization.

10005156084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12085 (or 12083 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 10005156084 in words is "ten billion, five million, one hundred fifty-six thousand, eighty-four".