105531552504 has 192 divisors, whose sum is σ = 336825216000. Its totient is φ = 29225933568.

The previous prime is 105531552463. The next prime is 105531552547. The reversal of 105531552504 is 405255135501.

105531552504 is a `hidden beast` number, since 1 + 0 + 5 + 53 + 1 + 552 + 50 + 4 = 666.

It is a super-2 number, since 2×105531552504² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2193297 + ... + 2240895.

It is an arithmetic number, because the mean of its divisors is an integer number (1754298000).

Almost surely, 2^105531552504 is an apocalyptic number.

105531552504 is a gapful number since it is divisible by the number (14) 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 105531552504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168412608000).

105531552504 is an abundant number, since it is smaller than the sum of its proper divisors (231293663496).

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

105531552504 is a wasteful number, since it uses less digits than its factorization.

105531552504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47754 (or 47747 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 105531552504 in words is "one hundred five billion, five hundred thirty-one million, five hundred fifty-two thousand, five hundred four".