10145522000 has 160 divisors (see below), whose sum is σ = 25181245440. Its totient is φ = 3952166400.

The previous prime is 10145521999. The next prime is 10145522003. The reversal of 10145522000 is 22554101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145522003) 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, 14985662 + ... + 14986338.

It is an arithmetic number, because the mean of its divisors is an integer number (157382784).

Almost surely, 2^10145522000 is an apocalyptic number.

10145522000 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 10145522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12590622720).

10145522000 is an abundant number, since it is smaller than the sum of its proper divisors (15035723440).

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

10145522000 is a wasteful number, since it uses less digits than its factorization.

10145522000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 10145522000 in words is "ten billion, one hundred forty-five million, five hundred twenty-two thousand".