105354864 has 80 divisors (see below), whose sum is σ = 312202240. Its totient is φ = 33981120.

The previous prime is 105354863. The next prime is 105354877. The reversal of 105354864 is 468453501.

It is a happy number.

105354864 is a `hidden beast` number, since 1 + 0 + 53 + 548 + 64 = 666.

It is a super-2 number, since 2×105354864² = 22199294736916992, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105354863) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9459 + ... + 17325.

It is an arithmetic number, because the mean of its divisors is an integer number (3902528).

Almost surely, 2^105354864 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 105354864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156101120).

105354864 is an abundant number, since it is smaller than the sum of its proper divisors (206847376).

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

105354864 is a wasteful number, since it uses less digits than its factorization.

105354864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7915 (or 7903 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 105354864 is about 10264.2517506148. The cubic root of 105354864 is about 472.3002733598.

The spelling of 105354864 in words is "one hundred five million, three hundred fifty-four thousand, eight hundred sixty-four".