10103600464 has 40 divisors (see below), whose sum is σ = 20353730760. Its totient is φ = 4852796928.

The previous prime is 10103600407. The next prime is 10103600473. The reversal of 10103600464 is 46400630101.

It can be written as a sum of positive squares in 4 ways, for example, as 5430510864 + 4673089600 = 73692^2 + 68360^2 .

It is a super-2 number, since 2×10103600464² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36142 + ... + 146674.

It is an arithmetic number, because the mean of its divisors is an integer number (508843269).

Almost surely, 2^10103600464 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 10103600464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10176865380).

10103600464 is an abundant number, since it is smaller than the sum of its proper divisors (10250130296).

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

10103600464 is a wasteful number, since it uses less digits than its factorization.

10103600464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110767 (or 110761 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 10103600464 in words is "ten billion, one hundred three million, six hundred thousand, four hundred sixty-four".