105101715340 has 48 divisors (see below), whose sum is σ = 227171710080. Its totient is φ = 40828020480.

The previous prime is 105101715319. The next prime is 105101715391. The reversal of 105101715340 is 43517101501.

It is a super-2 number, since 2×105101715340² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105101715299 and 105101715308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448867 + ... + 641626.

It is an arithmetic number, because the mean of its divisors is an integer number (4732743960).

Almost surely, 2^105101715340 is an apocalyptic number.

105101715340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105101715340 is an abundant number, since it is smaller than the sum of its proper divisors (122069994740).

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

105101715340 is a wasteful number, since it uses less digits than its factorization.

105101715340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090642 (or 1090640 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

Adding to 105101715340 its reverse (43517101501), we get a palindrome (148618816841).

The spelling of 105101715340 in words is "one hundred five billion, one hundred one million, seven hundred fifteen thousand, three hundred forty".