103699979970720 has 384 divisors, whose sum is σ = 376999457587200. Its totient is φ = 23469965955072.

The previous prime is 103699979970707. The next prime is 103699979970757. The reversal of 103699979970720 is 27079979996301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216961761 + ... + 217439199.

It is an arithmetic number, because the mean of its divisors is an integer number (981769420800).

Almost surely, 2^{103699979970720} is an apocalyptic number.

103699979970720 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 103699979970720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188499728793600).

103699979970720 is an abundant number, since it is smaller than the sum of its proper divisors (273299477616480).

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

103699979970720 is a wasteful number, since it uses less digits than its factorization.

103699979970720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478100 (or 478092 counting only the distinct ones).

The product of its (nonzero) digits is 729137052, while the sum is 78.

The spelling of 103699979970720 in words is "one hundred three trillion, six hundred ninety-nine billion, nine hundred seventy-nine million, nine hundred seventy thousand, seven hundred twenty".