103704065372160 has 2496 divisors, whose sum is σ = 428075480641536. Its totient is φ = 23849651404800.

The previous prime is 103704065372113. The next prime is 103704065372161. The reversal of 103704065372160 is 61273560407301.

103704065372160 is a `hidden beast` number, since 1 + 0 + 3 + 70 + 40 + 6 + 537 + 2 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103704065372161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89942814144 + ... + 89942815296.

It is an arithmetic number, because the mean of its divisors is an integer number (171504599616).

Almost surely, 2^{103704065372160} is an apocalyptic number.

103704065372160 is a gapful number since it is divisible by the number (10) 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 103704065372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214037740320768).

103704065372160 is an abundant number, since it is smaller than the sum of its proper divisors (324371415269376).

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

103704065372160 is a wasteful number, since it uses less digits than its factorization.

103704065372160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 103704065372160 in words is "one hundred three trillion, seven hundred four billion, sixty-five million, three hundred seventy-two thousand, one hundred sixty".