10105372000 has 96 divisors (see below), whose sum is σ = 25908652224. Its totient is φ = 3866368000.

The previous prime is 10105371989. The next prime is 10105372007. The reversal of 10105372000 is 27350101.

10105372000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105372007) by changing a digit.

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, 37080 + ... + 146920.

It is an arithmetic number, because the mean of its divisors is an integer number (269881794).

Almost surely, 2^10105372000 is an apocalyptic number.

10105372000 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 10105372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12954326112).

10105372000 is an abundant number, since it is smaller than the sum of its proper divisors (15803280224).

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

10105372000 is a wasteful number, since it uses less digits than its factorization.

10105372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109889 (or 109871 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The spelling of 10105372000 in words is "ten billion, one hundred five million, three hundred seventy-two thousand".