100803456 has 192 divisors, whose sum is σ = 320785920. Its totient is φ = 30191616.

The previous prime is 100803433. The next prime is 100803463. The reversal of 100803456 is 654308001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×100803456² = 20322673483087872, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 793665 + ... + 793791.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2^100803456 is an apocalyptic number.

100803456 is a gapful number since it is divisible by the number (16) 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 100803456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

100803456 is an abundant number, since it is smaller than the sum of its proper divisors (219982464).

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

100803456 is a wasteful number, since it uses less digits than its factorization.

100803456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 100803456 is about 10040.0924298534. The cubic root of 100803456 is about 465.3986730105.

The spelling of 100803456 in words is "one hundred million, eight hundred three thousand, four hundred fifty-six".