100105322460 has 384 divisors, whose sum is σ = 354415315968. Its totient is φ = 20736000000.

The previous prime is 100105322431. The next prime is 100105322461. The reversal of 100105322460 is 64223501001.

It is a self number, because there is not a number n which added to its sum of digits gives 100105322460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105322461) 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, 8891835 + ... + 8903085.

It is an arithmetic number, because the mean of its divisors is an integer number (922956552).

Almost surely, 2^100105322460 is an apocalyptic number.

100105322460 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 100105322460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177207657984).

100105322460 is an abundant number, since it is smaller than the sum of its proper divisors (254309993508).

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

100105322460 is a wasteful number, since it uses less digits than its factorization.

100105322460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11365 (or 11363 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 100105322460 its reverse (64223501001), we get a palindrome (164328823461).

The spelling of 100105322460 in words is "one hundred billion, one hundred five million, three hundred twenty-two thousand, four hundred sixty".