105614234352 has 180 divisors, whose sum is σ = 329738904040. Its totient is φ = 31526288640.

The previous prime is 105614234311. The next prime is 105614234377. The reversal of 105614234352 is 253432416501.

105614234352 is a `hidden beast` number, since 1 + 0 + 5 + 614 + 2 + 3 + 4 + 35 + 2 = 666.

It is a super-2 number, since 2×105614234352² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1122174 + ... + 1212642.

Almost surely, 2^105614234352 is an apocalyptic number.

105614234352 is a gapful number since it is divisible by the number (12) 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 105614234352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164869452020).

105614234352 is an abundant number, since it is smaller than the sum of its proper divisors (224124669688).

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

105614234352 is a wasteful number, since it uses less digits than its factorization.

105614234352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90572 (or 90552 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 105614234352 in words is "one hundred five billion, six hundred fourteen million, two hundred thirty-four thousand, three hundred fifty-two".