100352005488 has 420 divisors, whose sum is σ = 344024128368. Its totient is φ = 28256739840.

The previous prime is 100352005463. The next prime is 100352005489. The reversal of 100352005488 is 884500253001.

It is a happy number.

100352005488 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 520 + 0 + 54 + 88 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (100352005489) 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 83 ways as a sum of consecutive naturals, for example, 40577820 + ... + 40580292.

Almost surely, 2^100352005488 is an apocalyptic number.

100352005488 is a gapful number since it is divisible by the number (18) 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 100352005488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172012064184).

100352005488 is an abundant number, since it is smaller than the sum of its proper divisors (243672122880).

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

100352005488 is an equidigital number, since it uses as much as digits as its factorization.

100352005488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 100352005488 its reverse (884500253001), we get a palindrome (984852258489).

The spelling of 100352005488 in words is "one hundred billion, three hundred fifty-two million, five thousand, four hundred eighty-eight".