103771024896 has 720 divisors, whose sum is σ = 363166505856. Its totient is φ = 25769779200.

The previous prime is 103771024867. The next prime is 103771024913. The reversal of 103771024896 is 698420177301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1250253271 + ... + 1250253353.

Almost surely, 2^103771024896 is an apocalyptic number.

103771024896 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 103771024896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181583252928).

103771024896 is an abundant number, since it is smaller than the sum of its proper divisors (259395480960).

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

103771024896 is an equidigital number, since it uses as much as digits as its factorization.

103771024896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 103771024896 in words is "one hundred three billion, seven hundred seventy-one million, twenty-four thousand, eight hundred ninety-six".