103345626631212 has 192 divisors, whose sum is σ = 316803524352000. Its totient is φ = 28505959582464.

The previous prime is 103345626631193. The next prime is 103345626631283. The reversal of 103345626631212 is 212136626543301.

103345626631212 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 4 + 5 + 6 + 2 + 6 + 631 + 2 + 1 + 2 = 666.

103345626631212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199842114 + ... + 200358582.

It is an arithmetic number, because the mean of its divisors is an integer number (1650018356000).

Almost surely, 2^{103345626631212} is an apocalyptic number.

103345626631212 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 103345626631212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158401762176000).

103345626631212 is an abundant number, since it is smaller than the sum of its proper divisors (213457897720788).

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

103345626631212 is a wasteful number, since it uses less digits than its factorization.

103345626631212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525645 (or 525637 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 103345626631212 in words is "one hundred three trillion, three hundred forty-five billion, six hundred twenty-six million, six hundred thirty-one thousand, two hundred twelve".