100190720 has 80 divisors (see below), whose sum is σ = 274589568. Its totient is φ = 34344960.

The previous prime is 100190719. The next prime is 100190747. The reversal of 100190720 is 27091001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100190692 and 100190701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15125 + ... + 20715.

Almost surely, 2^100190720 is an apocalyptic number.

100190720 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 100190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137294784).

100190720 is an abundant number, since it is smaller than the sum of its proper divisors (174398848).

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

100190720 is an frugal number, since it uses more digits than its factorization.

100190720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5621 (or 5605 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 100190720 is about 10009.5314575658. The cubic root of 100190720 is about 464.4537772409.

The spelling of 100190720 in words is "one hundred million, one hundred ninety thousand, seven hundred twenty".