105542976 has 224 divisors, whose sum is σ = 356981760. Its totient is φ = 26949120.

The previous prime is 105542963. The next prime is 105542999. The reversal of 105542976 is 679245501.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×105542976² = 22278639565873152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1788835 + ... + 1788893.

Almost surely, 2^105542976 is an apocalyptic number.

105542976 is a gapful number since it is divisible by the number (16) 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 105542976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178490880).

105542976 is an abundant number, since it is smaller than the sum of its proper divisors (251438784).

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

105542976 is an equidigital number, since it uses as much as digits as its factorization.

105542976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 105542976 is about 10273.4111180270. The cubic root of 105542976 is about 472.5812049340.

It can be divided in two parts, 10554 and 2976, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 105542976 in words is "one hundred five million, five hundred forty-two thousand, nine hundred seventy-six".