105000601080 has 64 divisors (see below), whose sum is σ = 315023333760. Its totient is φ = 27998246528.

The previous prime is 105000601073. The next prime is 105000601081. The reversal of 105000601080 is 80106000501.

It is a super-2 number, since 2×105000601080² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105000601081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3045619 + ... + 3079901.

It is an arithmetic number, because the mean of its divisors is an integer number (4922239590).

Almost surely, 2^105000601080 is an apocalyptic number.

105000601080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105000601080 is an abundant number, since it is smaller than the sum of its proper divisors (210022732680).

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

105000601080 is a wasteful number, since it uses less digits than its factorization.

105000601080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59820 (or 59816 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 105000601080 its reverse (80106000501), we get a palindrome (185106601581).

The spelling of 105000601080 in words is "one hundred five billion, six hundred one thousand, eighty".