100532126772 has 576 divisors, whose sum is σ = 349690618368. Its totient is φ = 23556096000.

The previous prime is 100532126771. The next prime is 100532126801. The reversal of 100532126772 is 277621235001.

100532126772 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 321 + 267 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100532126771) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117856698 + ... + 117857550.

It is an arithmetic number, because the mean of its divisors is an integer number (607101768).

Almost surely, 2^100532126772 is an apocalyptic number.

100532126772 is a gapful number since it is divisible by the number (12) 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 100532126772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174845309184).

100532126772 is an abundant number, since it is smaller than the sum of its proper divisors (249158491596).

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

100532126772 is a wasteful number, since it uses less digits than its factorization.

100532126772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 100532126772 in words is "one hundred billion, five hundred thirty-two million, one hundred twenty-six thousand, seven hundred seventy-two".