105130133016 has 32 divisors (see below), whose sum is σ = 263249966400. Its totient is φ = 34986759840.

The previous prime is 105130132993. The next prime is 105130133023. The reversal of 105130133016 is 610331031501.

It is a super-2 number, since 2×105130133016² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3523450 + ... + 3553161.

It is an arithmetic number, because the mean of its divisors is an integer number (8226561450).

Almost surely, 2^105130133016 is an apocalyptic number.

It is an amenable number.

105130133016 is an abundant number, since it is smaller than the sum of its proper divisors (158119833384).

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

105130133016 is a wasteful number, since it uses less digits than its factorization.

105130133016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7077239 (or 7077235 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

Adding to 105130133016 its reverse (610331031501), we get a palindrome (715461164517).

The spelling of 105130133016 in words is "one hundred five billion, one hundred thirty million, one hundred thirty-three thousand, sixteen".