103640564132412 has 96 divisors (see below), whose sum is σ = 247248644493312. Its totient is φ = 33774134908416.

The previous prime is 103640564132407. The next prime is 103640564132419. The reversal of 103640564132412 is 214231465046301.

103640564132412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×103640564132412³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103640564132419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1922197278 + ... + 1922251194.

It is an arithmetic number, because the mean of its divisors is an integer number (2575506713472).

Almost surely, 2^{103640564132412} is an apocalyptic number.

103640564132412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103640564132412 is an abundant number, since it is smaller than the sum of its proper divisors (143608080360900).

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

103640564132412 is a wasteful number, since it uses less digits than its factorization.

103640564132412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57707 (or 57705 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 103640564132412 in words is "one hundred three trillion, six hundred forty billion, five hundred sixty-four million, one hundred thirty-two thousand, four hundred twelve".