100803072 has 160 divisors (see below), whose sum is σ = 290695680. Its totient is φ = 30965760.

The previous prime is 100803067. The next prime is 100803077. The reversal of 100803072 is 270308001.

It is an interprime number because it is at equal distance from previous prime (100803067) and next prime (100803077).

It is a super-2 number, since 2×100803072² = 20322518649274368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100803077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1380828 + ... + 1380900.

It is an arithmetic number, because the mean of its divisors is an integer number (1816848).

Almost surely, 2^100803072 is an apocalyptic number.

100803072 is a gapful number since it is divisible by the number (12) 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 100803072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145347840).

100803072 is an abundant number, since it is smaller than the sum of its proper divisors (189892608).

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

100803072 is an equidigital number, since it uses as much as digits as its factorization.

100803072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 100803072 is about 10040.0733065053. The cubic root of 100803072 is about 465.3980820476.

The spelling of 100803072 in words is "one hundred million, eight hundred three thousand, seventy-two".