10450104000 has 448 divisors, whose sum is σ = 41766865920. Its totient is φ = 2247475200.

The previous prime is 10450103933. The next prime is 10450104023. The reversal of 10450104000 is 40105401.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10450104000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 2854171 + ... + 2857829.

Almost surely, 2^10450104000 is an apocalyptic number.

10450104000 is a gapful number since it is divisible by the number (10) 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 10450104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20883432960).

10450104000 is an abundant number, since it is smaller than the sum of its proper divisors (31316761920).

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

10450104000 is a wasteful number, since it uses less digits than its factorization.

10450104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713 (or 3693 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 10450104000 its reverse (40105401), we get a palindrome (10490209401).

The spelling of 10450104000 in words is "ten billion, four hundred fifty million, one hundred four thousand".