10110400352 has 72 divisors (see below), whose sum is σ = 22409002224. Its totient is φ = 4463357184.

The previous prime is 10110400343. The next prime is 10110400367. The reversal of 10110400352 is 25300401101.

It is a self number, because there is not a number n which added to its sum of digits gives 10110400352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197093 + ... + 243035.

It is an arithmetic number, because the mean of its divisors is an integer number (311236142).

Almost surely, 2^10110400352 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 10110400352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11204501112).

10110400352 is an abundant number, since it is smaller than the sum of its proper divisors (12298601872).

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

10110400352 is a wasteful number, since it uses less digits than its factorization.

10110400352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46012 (or 45981 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 10110400352 its reverse (25300401101), we get a palindrome (35410801453).

The spelling of 10110400352 in words is "ten billion, one hundred ten million, four hundred thousand, three hundred fifty-two".