100126430544 has 320 divisors, whose sum is σ = 326019133440. Its totient is φ = 25817702400.

The previous prime is 100126430533. The next prime is 100126430549. The reversal of 100126430544 is 445034621001.

It is a super-2 number, since 2×100126430544² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100126430549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25010847 + ... + 25014849.

It is an arithmetic number, because the mean of its divisors is an integer number (1018809792).

Almost surely, 2^100126430544 is an apocalyptic number.

100126430544 is a gapful number since it is divisible by the number (14) 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 100126430544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163009566720).

100126430544 is an abundant number, since it is smaller than the sum of its proper divisors (225892702896).

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

100126430544 is a wasteful number, since it uses less digits than its factorization.

100126430544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 100126430544 in words is "one hundred billion, one hundred twenty-six million, four hundred thirty thousand, five hundred forty-four".