100510650400 has 144 divisors (see below), whose sum is σ = 260080681896. Its totient is φ = 37799198720.

The previous prime is 100510650379. The next prime is 100510650403. The reversal of 100510650400 is 4056015001.

It can be written as a sum of positive squares in 12 ways, for example, as 8354691216 + 92155959184 = 91404^2 + 303572^2 .

It is not an unprimeable number, because it can be changed into a prime (100510650403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14915832 + ... + 14922568.

Almost surely, 2^100510650400 is an apocalyptic number.

100510650400 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 100510650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130040340948).

100510650400 is an abundant number, since it is smaller than the sum of its proper divisors (159570031496).

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

100510650400 is a wasteful number, since it uses less digits than its factorization.

100510650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7871 (or 7858 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 100510650400 its reverse (4056015001), we get a palindrome (104566665401).

The spelling of 100510650400 in words is "one hundred billion, five hundred ten million, six hundred fifty thousand, four hundred".