103665587296 has 96 divisors (see below), whose sum is σ = 214162704000. Its totient is φ = 49328627712.

The previous prime is 103665587269. The next prime is 103665587371. The reversal of 103665587296 is 692785566301.

It is a super-3 number, since 3×103665587296³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 103665587296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80422620 + ... + 80423908.

It is an arithmetic number, because the mean of its divisors is an integer number (2230861500).

Almost surely, 2^103665587296 is an apocalyptic number.

103665587296 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 103665587296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107081352000).

103665587296 is an abundant number, since it is smaller than the sum of its proper divisors (110497116704).

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

103665587296 is a wasteful number, since it uses less digits than its factorization.

103665587296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 58.

The spelling of 103665587296 in words is "one hundred three billion, six hundred sixty-five million, five hundred eighty-seven thousand, two hundred ninety-six".