100126264320 has 528 divisors, whose sum is σ = 375534432000. Its totient is φ = 25532153856.

The previous prime is 100126264307. The next prime is 100126264321. The reversal of 100126264320 is 23462621001.

100126264320 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 626 + 4 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100126264321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28613931 + ... + 28617429.

Almost surely, 2^100126264320 is an apocalyptic number.

100126264320 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 100126264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187767216000).

100126264320 is an abundant number, since it is smaller than the sum of its proper divisors (275408167680).

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

100126264320 is an equidigital number, since it uses as much as digits as its factorization.

100126264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 100126264320 its reverse (23462621001), we get a palindrome (123588885321).

The spelling of 100126264320 in words is "one hundred billion, one hundred twenty-six million, two hundred sixty-four thousand, three hundred twenty".