103396767695712 has 192 divisors, whose sum is σ = 314697349532160. Its totient is φ = 32965876956672.

The previous prime is 103396767695699. The next prime is 103396767695723. The reversal of 103396767695712 is 217596767693301.

103396767695712 is a `hidden beast` number, since 1 + 0 + 3 + 396 + 76 + 76 + 95 + 7 + 12 = 666.

It is a super-2 number, since 2×103396767695712² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 655438798 + ... + 655596530.

It is an arithmetic number, because the mean of its divisors is an integer number (1639048695480).

Almost surely, 2^{103396767695712} is an apocalyptic number.

103396767695712 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 103396767695712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157348674766080).

103396767695712 is an abundant number, since it is smaller than the sum of its proper divisors (211300581836448).

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

103396767695712 is a wasteful number, since it uses less digits than its factorization.

103396767695712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190762 (or 190748 counting only the distinct ones).

The product of its (nonzero) digits is 540101520, while the sum is 72.

The spelling of 103396767695712 in words is "one hundred three trillion, three hundred ninety-six billion, seven hundred sixty-seven million, six hundred ninety-five thousand, seven hundred twelve".