10056154000 has 80 divisors (see below), whose sum is σ = 24340942080. Its totient is φ = 4018300800.

The previous prime is 10056153983. The next prime is 10056154013. The reversal of 10056154000 is 45165001.

10056154000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10056154000² (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2564041 + ... + 2567959.

It is an arithmetic number, because the mean of its divisors is an integer number (304261776).

Almost surely, 2^10056154000 is an apocalyptic number.

10056154000 is a gapful number since it is divisible by the number (10) 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 10056154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12170471040).

10056154000 is an abundant number, since it is smaller than the sum of its proper divisors (14284788080).

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

10056154000 is a wasteful number, since it uses less digits than its factorization.

10056154000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5225 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The spelling of 10056154000 in words is "ten billion, fifty-six million, one hundred fifty-four thousand".