10315341600 has 144 divisors (see below), whose sum is σ = 35551662048. Its totient is φ = 2588938240.

The previous prime is 10315341593. The next prime is 10315341607. The reversal of 10315341600 is 614351301.

It is an interprime number because it is at equal distance from previous prime (10315341593) and next prime (10315341607).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10315341607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85614 + ... + 167213.

It is an arithmetic number, because the mean of its divisors is an integer number (246886542).

Almost surely, 2^10315341600 is an apocalyptic number.

10315341600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10315341600 is an abundant number, since it is smaller than the sum of its proper divisors (25236320448).

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

10315341600 is a wasteful number, since it uses less digits than its factorization.

10315341600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252867 (or 252854 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 10315341600 its reverse (614351301), we get a palindrome (10929692901).

The spelling of 10315341600 in words is "ten billion, three hundred fifteen million, three hundred forty-one thousand, six hundred".