105749489664 has 576 divisors, whose sum is σ = 381922369920. Its totient is φ = 27444510720.

The previous prime is 105749489639. The next prime is 105749489693. The reversal of 105749489664 is 466984947501.

105749489664 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 494 + 89 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×105749489664² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112379434 + ... + 112380374.

It is an arithmetic number, because the mean of its divisors is an integer number (663059670).

Almost surely, 2^105749489664 is an apocalyptic number.

105749489664 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 105749489664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190961184960).

105749489664 is an abundant number, since it is smaller than the sum of its proper divisors (276172880256).

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

105749489664 is a wasteful number, since it uses less digits than its factorization.

105749489664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 105749489664 in words is "one hundred five billion, seven hundred forty-nine million, four hundred eighty-nine thousand, six hundred sixty-four".