101803296 has 96 divisors (see below), whose sum is σ = 307359360. Its totient is φ = 28901376.

The previous prime is 101803283. The next prime is 101803297. The reversal of 101803296 is 692308101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×101803296² = 20727822152927232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101803297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132000 + ... + 132768.

It is an arithmetic number, because the mean of its divisors is an integer number (3201660).

Almost surely, 2^101803296 is an apocalyptic number.

101803296 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 101803296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153679680).

101803296 is an abundant number, since it is smaller than the sum of its proper divisors (205556064).

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

101803296 is a wasteful number, since it uses less digits than its factorization.

101803296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 101803296 is about 10089.7619397090. The cubic root of 101803296 is about 466.9323312731.

The spelling of 101803296 in words is "one hundred one million, eight hundred three thousand, two hundred ninety-six".