100817920 has 176 divisors, whose sum is σ = 288872640. Its totient is φ = 33030144.

The previous prime is 100817909. The next prime is 100817953. The reversal of 100817920 is 29718001.

It is a super-3 number, since 3×100817920³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1039312 + ... + 1039408.

Almost surely, 2^100817920 is an apocalyptic number.

100817920 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 100817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144436320).

100817920 is an abundant number, since it is smaller than the sum of its proper divisors (188054720).

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

100817920 is an equidigital number, since it uses as much as digits as its factorization.

100817920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 100817920 is about 10040.8127161102. The cubic root of 100817920 is about 465.4209315214.

The spelling of 100817920 in words is "one hundred million, eight hundred seventeen thousand, nine hundred twenty".