103617975360 has 224 divisors, whose sum is σ = 334533313152. Its totient is φ = 27168030720.

The previous prime is 103617975359. The next prime is 103617975361. The reversal of 103617975360 is 63579716301.

It is an interprime number because it is at equal distance from previous prime (103617975359) and next prime (103617975361).

It is a super-3 number, since 3×103617975360³ (a number of 34 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (103617975361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24315630 + ... + 24319890.

Almost surely, 2^103617975360 is an apocalyptic number.

103617975360 is a gapful number since it is divisible by the number (10) 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 103617975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167266656576).

103617975360 is an abundant number, since it is smaller than the sum of its proper divisors (230915337792).

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

103617975360 is a wasteful number, since it uses less digits than its factorization.

103617975360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 48.

The spelling of 103617975360 in words is "one hundred three billion, six hundred seventeen million, nine hundred seventy-five thousand, three hundred sixty".