100732263552 has 168 divisors, whose sum is σ = 301168559115. Its totient is φ = 33545104128.

The previous prime is 100732263551. The next prime is 100732263571. The reversal of 100732263552 is 255362237001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

100732263552 is a `hidden beast` number, since 10 + 0 + 7 + 3 + 2 + 2 + 635 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50366131776 + 50366131776 = 224424^2 + 224424^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=224424.

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

It is not an unprimeable number, because it can be changed into a prime (100732263551) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 96950649 + ... + 96951687.

Almost surely, 2^100732263552 is an apocalyptic number.

100732263552 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 100732263552

100732263552 is an abundant number, since it is smaller than the sum of its proper divisors (200436295563).

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

100732263552 is an frugal number, since it uses more digits than its factorization.

100732263552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 100732263552 in words is "one hundred billion, seven hundred thirty-two million, two hundred sixty-three thousand, five hundred fifty-two".