103967345664 has 1056 divisors, whose sum is σ = 400680107520. Its totient is φ = 25918341120.

The previous prime is 103967345593. The next prime is 103967345683. The reversal of 103967345664 is 466543769301.

103967345664 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 6 + 73 + 4 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 103967345664.

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, 2417845227 + ... + 2417845269.

It is an arithmetic number, because the mean of its divisors is an integer number (379431920).

Almost surely, 2^103967345664 is an apocalyptic number.

103967345664 is a gapful number since it is divisible by the number (14) 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 103967345664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200340053760).

103967345664 is an abundant number, since it is smaller than the sum of its proper divisors (296712761856).

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

103967345664 is a wasteful number, since it uses less digits than its factorization.

103967345664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 103967345664 in words is "one hundred three billion, nine hundred sixty-seven million, three hundred forty-five thousand, six hundred sixty-four".