103396912736544 has 432 divisors, whose sum is σ = 353216574547200. Its totient is φ = 28577484149760.

The previous prime is 103396912736489. The next prime is 103396912736567. The reversal of 103396912736544 is 445637219693301.

103396912736544 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 9 + 6 + 9 + 12 + 73 + 6 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1115069767 + ... + 1115162489.

It is an arithmetic number, because the mean of its divisors is an integer number (817630959600).

Almost surely, 2^{103396912736544} is an apocalyptic number.

103396912736544 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 103396912736544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176608287273600).

103396912736544 is an abundant number, since it is smaller than the sum of its proper divisors (249819661810656).

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

103396912736544 is a wasteful number, since it uses less digits than its factorization.

103396912736544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95333 (or 95315 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 103396912736544 in words is "one hundred three trillion, three hundred ninety-six billion, nine hundred twelve million, seven hundred thirty-six thousand, five hundred forty-four".