105170129840 has 20 divisors (see below), whose sum is σ = 244520552064. Its totient is φ = 42068051904.

The previous prime is 105170129783. The next prime is 105170129851. The reversal of 105170129840 is 48921071501.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×105170129840² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105170129794 and 105170129803.

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 3 ways as a sum of consecutive naturals, for example, 657313232 + ... + 657313391.

Almost surely, 2^105170129840 is an apocalyptic number.

105170129840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105170129840 is an abundant number, since it is smaller than the sum of its proper divisors (139350422224).

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

105170129840 is a wasteful number, since it uses less digits than its factorization.

105170129840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314626636 (or 1314626630 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 38.

The spelling of 105170129840 in words is "one hundred five billion, one hundred seventy million, one hundred twenty-nine thousand, eight hundred forty".