10087400010 has 64 divisors (see below), whose sum is σ = 25626585600. Its totient is φ = 2534133312.

The previous prime is 10087399963. The next prime is 10087400017. The reversal of 10087400010 is 1000478001.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10087400010.

It is not an unprimeable number, because it can be changed into a prime (10087400017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52597 + ... + 151463.

It is an arithmetic number, because the mean of its divisors is an integer number (400415400).

Almost surely, 2^10087400010 is an apocalyptic number.

10087400010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10087400010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12813292800).

10087400010 is an abundant number, since it is smaller than the sum of its proper divisors (15539185590).

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

10087400010 is a wasteful number, since it uses less digits than its factorization.

10087400010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99075.

The product of its (nonzero) digits is 224, while the sum is 21.

Adding to 10087400010 its reverse (1000478001), we get a palindrome (11087878011).

The spelling of 10087400010 in words is "ten billion, eighty-seven million, four hundred thousand, ten".