10465103880 has 512 divisors, whose sum is σ = 44225740800. Its totient is φ = 2137881600.

The previous prime is 10465103849. The next prime is 10465103881. The reversal of 10465103880 is 8830156401.

10465103880 is a `hidden beast` number, since 10 + 465 + 103 + 8 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10465103881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5071729 + ... + 5073791.

It is an arithmetic number, because the mean of its divisors is an integer number (86378400).

Almost surely, 2^10465103880 is an apocalyptic number.

10465103880 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 10465103880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22112870400).

10465103880 is an abundant number, since it is smaller than the sum of its proper divisors (33760636920).

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

10465103880 is a wasteful number, since it uses less digits than its factorization.

10465103880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10465103880 in words is "ten billion, four hundred sixty-five million, one hundred three thousand, eight hundred eighty".