105154130510 has 48 divisors (see below), whose sum is σ = 223589736720. Its totient is φ = 35296485120.

The previous prime is 105154130467. The next prime is 105154130519. The reversal of 105154130510 is 15031451501.

It is a super-2 number, since 2×105154130510² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 105154130510.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105154130519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2809655 + ... + 2846834.

It is an arithmetic number, because the mean of its divisors is an integer number (4658119515).

Almost surely, 2^105154130510 is an apocalyptic number.

105154130510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105154130510 is an abundant number, since it is smaller than the sum of its proper divisors (118435606210).

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

105154130510 is a wasteful number, since it uses less digits than its factorization.

105154130510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5656533 (or 5656520 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 26.

The spelling of 105154130510 in words is "one hundred five billion, one hundred fifty-four million, one hundred thirty thousand, five hundred ten".