10132844904 has 256 divisors, whose sum is σ = 34836480000. Its totient is φ = 2657422080.

The previous prime is 10132844873. The next prime is 10132844929. The reversal of 10132844904 is 40944823101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3752947 + ... + 3755645.

It is an arithmetic number, because the mean of its divisors is an integer number (136080000).

Almost surely, 2^10132844904 is an apocalyptic number.

10132844904 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 10132844904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240000).

10132844904 is an abundant number, since it is smaller than the sum of its proper divisors (24703635096).

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

10132844904 is a wasteful number, since it uses less digits than its factorization.

10132844904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10132844904 in words is "ten billion, one hundred thirty-two million, eight hundred forty-four thousand, nine hundred four".