105001679140 has 48 divisors (see below), whose sum is σ = 233768392704. Its totient is φ = 39547267200.

The previous prime is 105001679129. The next prime is 105001679179. The reversal of 105001679140 is 41976100501.

It is a super-2 number, since 2×105001679140² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105001679096 and 105001679105.

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 15 ways as a sum of consecutive naturals, for example, 2265676 + ... + 2311555.

It is an arithmetic number, because the mean of its divisors is an integer number (4870174848).

Almost surely, 2^105001679140 is an apocalyptic number.

105001679140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105001679140 is an abundant number, since it is smaller than the sum of its proper divisors (128766713564).

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

105001679140 is a wasteful number, since it uses less digits than its factorization.

105001679140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4577308 (or 4577306 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 34.

Adding to 105001679140 its reverse (41976100501), we get a palindrome (146977779641).

The spelling of 105001679140 in words is "one hundred five billion, one million, six hundred seventy-nine thousand, one hundred forty".