100026741472 has 96 divisors (see below), whose sum is σ = 227304887040. Its totient is φ = 42442583040.

The previous prime is 100026741359. The next prime is 100026741491. The reversal of 100026741472 is 274147620001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13406479 + ... + 13413937.

It is an arithmetic number, because the mean of its divisors is an integer number (2367759240).

Almost surely, 2^100026741472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100026741472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113652443520).

100026741472 is an abundant number, since it is smaller than the sum of its proper divisors (127278145568).

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

100026741472 is a wasteful number, since it uses less digits than its factorization.

100026741472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8064 (or 8056 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The spelling of 100026741472 in words is "one hundred billion, twenty-six million, seven hundred forty-one thousand, four hundred seventy-two".