10297089792 has 144 divisors (see below), whose sum is σ = 33218760960. Its totient is φ = 3120307200.

The previous prime is 10297089791. The next prime is 10297089833. The reversal of 10297089792 is 29798079201.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10297089791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8317 + ... + 143747.

It is an arithmetic number, because the mean of its divisors is an integer number (230685840).

Almost surely, 2^10297089792 is an apocalyptic number.

10297089792 is a gapful number since it is divisible by the number (12) 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 10297089792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16609380480).

10297089792 is an abundant number, since it is smaller than the sum of its proper divisors (22921671168).

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

10297089792 is a wasteful number, since it uses less digits than its factorization.

10297089792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135467 (or 135447 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 10297089792 in words is "ten billion, two hundred ninety-seven million, eighty-nine thousand, seven hundred ninety-two".