100534990320 has 720 divisors, whose sum is σ = 391418295840. Its totient is φ = 23863984128.

The previous prime is 100534990307. The next prime is 100534990321. The reversal of 100534990320 is 23099435001.

It is a happy number.

100534990320 is a `hidden beast` number, since 1 + 0 + 0 + 534 + 9 + 90 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (100534990321) 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 143 ways as a sum of consecutive naturals, for example, 169535944 + ... + 169536536.

It is an arithmetic number, because the mean of its divisors is an integer number (543636522).

Almost surely, 2^100534990320 is an apocalyptic number.

100534990320 is a gapful number since it is divisible by the number (10) 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 100534990320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195709147920).

100534990320 is an abundant number, since it is smaller than the sum of its proper divisors (290883305520).

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

100534990320 is an equidigital number, since it uses as much as digits as its factorization.

100534990320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 100534990320 in words is "one hundred billion, five hundred thirty-four million, nine hundred ninety thousand, three hundred twenty".