105496344 has 80 divisors (see below), whose sum is σ = 299779920. Its totient is φ = 34655040.

The previous prime is 105496343. The next prime is 105496399. The reversal of 105496344 is 443694501.

105496344 is a `hidden beast` number, since 10 + 5 + 4 + 9 + 634 + 4 = 666.

It is a super-2 number, since 2×105496344² = 22258957194732672, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105496299 and 105496308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105496343) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44862 + ... + 47154.

It is an arithmetic number, because the mean of its divisors is an integer number (3747249).

Almost surely, 2^105496344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105496344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149889960).

105496344 is an abundant number, since it is smaller than the sum of its proper divisors (194283576).

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

105496344 is a wasteful number, since it uses less digits than its factorization.

105496344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 105496344 is about 10271.1413192498. The cubic root of 105496344 is about 472.5115945756.

The spelling of 105496344 in words is "one hundred five million, four hundred ninety-six thousand, three hundred forty-four".