103586361072 has 80 divisors (see below), whose sum is σ = 271496051712. Its totient is φ = 34026289920.

The previous prime is 103586361017. The next prime is 103586361077. The reversal of 103586361072 is 270163685301.

It is a super-3 number, since 3×103586361072³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103586361077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8708313 + ... + 8720199.

Almost surely, 2^103586361072 is an apocalyptic number.

103586361072 is a gapful number since it is divisible by the number (12) 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 103586361072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135748025856).

103586361072 is an abundant number, since it is smaller than the sum of its proper divisors (167909690640).

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

103586361072 is a wasteful number, since it uses less digits than its factorization.

103586361072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14526 (or 14520 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 103586361072 in words is "one hundred three billion, five hundred eighty-six million, three hundred sixty-one thousand, seventy-two".