10523119104 has 160 divisors (see below), whose sum is σ = 32224500000. Its totient is φ = 3386621952.

The previous prime is 10523119099. The next prime is 10523119147. The reversal of 10523119104 is 40191132501.

It is a happy number.

10523119104 is a `hidden beast` number, since 10 + 523 + 119 + 10 + 4 = 666.

It is a super-2 number, since 2×10523119104² (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 an unprimeable number.

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, 387772 + ... + 414020.

It is an arithmetic number, because the mean of its divisors is an integer number (201403125).

Almost surely, 2^10523119104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10523119104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16112250000).

10523119104 is an abundant number, since it is smaller than the sum of its proper divisors (21701380896).

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

10523119104 is an equidigital number, since it uses as much as digits as its factorization.

10523119104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26305 (or 26283 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 10523119104 in words is "ten billion, five hundred twenty-three million, one hundred nineteen thousand, one hundred four".