105492829500 has 288 divisors, whose sum is σ = 348401184768. Its totient is φ = 26838000000.

The previous prime is 105492829493. The next prime is 105492829511. The reversal of 105492829500 is 5928294501.

It is a happy number.

105492829500 is a `hidden beast` number, since 1 + 0 + 54 + 92 + 8 + 2 + 9 + 500 = 666.

It is a super-2 number, since 2×105492829500² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9899175 + ... + 9909825.

It is an arithmetic number, because the mean of its divisors is an integer number (1209726336).

Almost surely, 2^105492829500 is an apocalyptic number.

105492829500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105492829500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174200592384).

105492829500 is an abundant number, since it is smaller than the sum of its proper divisors (242908355268).

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

105492829500 is a wasteful number, since it uses less digits than its factorization.

105492829500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10778 (or 10763 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 105492829500 in words is "one hundred five billion, four hundred ninety-two million, eight hundred twenty-nine thousand, five hundred".