103596691968 has 960 divisors, whose sum is σ = 398740193280. Its totient is φ = 25291284480.

The previous prime is 103596691943. The next prime is 103596691973. The reversal of 103596691968 is 869196695301.

It is a super-3 number, since 3×103596691968³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 815721921 + ... + 815722047.

It is an arithmetic number, because the mean of its divisors is an integer number (415354368).

Almost surely, 2^103596691968 is an apocalyptic number.

103596691968 is a gapful number since it is divisible by the number (18) 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 103596691968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199370096640).

103596691968 is an abundant number, since it is smaller than the sum of its proper divisors (295143501312).

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

103596691968 is a wasteful number, since it uses less digits than its factorization.

103596691968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 103596691968 in words is "one hundred three billion, five hundred ninety-six million, six hundred ninety-one thousand, nine hundred sixty-eight".