102613800105 has 32 divisors (see below), whose sum is σ = 182722273920. Its totient is φ = 54638038080.

The previous prime is 102613800097. The next prime is 102613800143. The reversal of 102613800105 is 501008316201.

102613800105 is a `hidden beast` number, since 10 + 261 + 380 + 0 + 10 + 5 = 666.

It is not a de Polignac number, because 102613800105 - 2³ = 102613800097 is a prime.

It is a super-2 number, since 2×102613800105² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 537231 + ... + 702740.

It is an arithmetic number, because the mean of its divisors is an integer number (5710071060).

Almost surely, 2^102613800105 is an apocalyptic number.

102613800105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102613800105 is a deficient number, since it is larger than the sum of its proper divisors (80108473815).

102613800105 is a wasteful number, since it uses less digits than its factorization.

102613800105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240598 (or 1240592 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 102613800105 in words is "one hundred two billion, six hundred thirteen million, eight hundred thousand, one hundred five".