103693916160 has 144 divisors (see below), whose sum is σ = 359384800320. Its totient is φ = 27651686400.

The previous prime is 103693916141. The next prime is 103693916173. The reversal of 103693916160 is 61619396301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 470416 + ... + 654735.

It is an arithmetic number, because the mean of its divisors is an integer number (2495727780).

Almost surely, 2^103693916160 is an apocalyptic number.

103693916160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103693916160 is an abundant number, since it is smaller than the sum of its proper divisors (255690884160).

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

103693916160 is a wasteful number, since it uses less digits than its factorization.

103693916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125184 (or 1125161 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 103693916160 in words is "one hundred three billion, six hundred ninety-three million, nine hundred sixteen thousand, one hundred sixty".