105540354 has 64 divisors (see below), whose sum is σ = 243722880. Its totient is φ = 33825600.

The previous prime is 105540349. The next prime is 105540359. The reversal of 105540354 is 453045501.

It is an interprime number because it is at equal distance from previous prime (105540349) and next prime (105540359).

It is a super-2 number, since 2×105540354² = 22277532644890632, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105540359) by changing a digit.

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, 201537 + ... + 202059.

It is an arithmetic number, because the mean of its divisors is an integer number (3808170).

Almost surely, 2^105540354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105540354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121861440).

105540354 is an abundant number, since it is smaller than the sum of its proper divisors (138182526).

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

105540354 is a wasteful number, since it uses less digits than its factorization.

105540354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 105540354 is about 10273.2835062603. The cubic root of 105540354 is about 472.5772914628.

Adding to 105540354 its reverse (453045501), we get a palindrome (558585855).

The spelling of 105540354 in words is "one hundred five million, five hundred forty thousand, three hundred fifty-four".