10032038190 has 128 divisors (see below), whose sum is σ = 28500595200. Its totient is φ = 2503768320.

The previous prime is 10032038173. The next prime is 10032038197. The reversal of 10032038190 is 9183023001.

10032038190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10032038190² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032038197) 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 63 ways as a sum of consecutive naturals, for example, 414010 + ... + 437570.

It is an arithmetic number, because the mean of its divisors is an integer number (222660900).

Almost surely, 2^10032038190 is an apocalyptic number.

10032038190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10032038190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14250297600).

10032038190 is an abundant number, since it is smaller than the sum of its proper divisors (18468557010).

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

10032038190 is a wasteful number, since it uses less digits than its factorization.

10032038190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23679 (or 23673 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10032038190 in words is "ten billion, thirty-two million, thirty-eight thousand, one hundred ninety".