105891456 has 192 divisors, whose sum is σ = 322328160. Its totient is φ = 30750720.

The previous prime is 105891439. The next prime is 105891491. The reversal of 105891456 is 654198501.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×105891456² = 22426000907599872, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1997926 + ... + 1997978.

Almost surely, 2^105891456 is an apocalyptic number.

105891456 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 105891456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161164080).

105891456 is an abundant number, since it is smaller than the sum of its proper divisors (216436704).

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

105891456 is a wasteful number, since it uses less digits than its factorization.

105891456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 105891456 is about 10290.3574281946. The cubic root of 105891456 is about 473.1007537307.

The spelling of 105891456 in words is "one hundred five million, eight hundred ninety-one thousand, four hundred fifty-six".