100719990 has 192 divisors, whose sum is σ = 327006720. Its totient is φ = 21954240.

The previous prime is 100719989. The next prime is 100719991. The reversal of 100719990 is 99917001.

It is an interprime number because it is at equal distance from previous prime (100719989) and next prime (100719991).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100719991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 304125 + ... + 304455.

It is an arithmetic number, because the mean of its divisors is an integer number (1703160).

Almost surely, 2^100719990 is an apocalyptic number.

100719990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100719990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163503360).

100719990 is an abundant number, since it is smaller than the sum of its proper divisors (226286730).

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

100719990 is a wasteful number, since it uses less digits than its factorization.

100719990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 5103, while the sum is 36.

The square root of 100719990 is about 10035.9349340258. The cubic root of 100719990 is about 465.2701863712.

The spelling of 100719990 in words is "one hundred million, seven hundred nineteen thousand, nine hundred ninety".