103418698820160 has 224 divisors, whose sum is σ = 334427112980352. Its totient is φ = 27072505774080.

The previous prime is 103418698820159. The next prime is 103418698820161. The reversal of 103418698820160 is 61028896814301.

It is an interprime number because it is at equal distance from previous prime (103418698820159) and next prime (103418698820161).

It is a self number, because there is not a number n which added to its sum of digits gives 103418698820160.

It is not an unprimeable number, because it can be changed into a prime (103418698820161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8376240 + ... + 16643280.

It is an arithmetic number, because the mean of its divisors is an integer number (1492978182948).

Almost surely, 2^{103418698820160} is an apocalyptic number.

103418698820160 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 103418698820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167213556490176).

103418698820160 is an abundant number, since it is smaller than the sum of its proper divisors (231008414160192).

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

103418698820160 is a wasteful number, since it uses less digits than its factorization.

103418698820160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8267301 (or 8267291 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 57.

The spelling of 103418698820160 in words is "one hundred three trillion, four hundred eighteen billion, six hundred ninety-eight million, eight hundred twenty thousand, one hundred sixty".