105017157705216 has 80 divisors (see below), whose sum is σ = 279775502378064. Its totient is φ = 35005315006464.

The previous prime is 105017157705199. The next prime is 105017157705269. The reversal of 105017157705216 is 612507751710501.

It is a super-2 number, since 2×105017157705216² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151744866 + ... + 152435358.

Almost surely, 2^{105017157705216} is an apocalyptic number.

105017157705216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105017157705216 is an abundant number, since it is smaller than the sum of its proper divisors (174758344672848).

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

105017157705216 is an frugal number, since it uses more digits than its factorization.

105017157705216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789531 (or 789515 counting only the distinct ones).

The product of its (nonzero) digits is 514500, while the sum is 48.

The spelling of 105017157705216 in words is "one hundred five trillion, seventeen billion, one hundred fifty-seven million, seven hundred five thousand, two hundred sixteen".