100105052010 has 64 divisors (see below), whose sum is σ = 244656599040. Its totient is φ = 26208445760.

The previous prime is 100105052009. The next prime is 100105052077. The reversal of 100105052010 is 10250501001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410749 + ... + 607391.

It is an arithmetic number, because the mean of its divisors is an integer number (3822759360).

Almost surely, 2^100105052010 is an apocalyptic number.

100105052010 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 100105052010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122328299520).

100105052010 is an abundant number, since it is smaller than the sum of its proper divisors (144551547030).

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

100105052010 is a wasteful number, since it uses less digits than its factorization.

100105052010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196963.

The product of its (nonzero) digits is 50, while the sum is 15.

Adding to 100105052010 its reverse (10250501001), we get a palindrome (110355553011).

The spelling of 100105052010 in words is "one hundred billion, one hundred five million, fifty-two thousand, ten".