105192864 has 96 divisors (see below), whose sum is σ = 350663040. Its totient is φ = 30053376.

The previous prime is 105192859. The next prime is 105192907. The reversal of 105192864 is 468291501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105192864² = 22131077273044992, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 2649 + ... + 14744.

It is an arithmetic number, because the mean of its divisors is an integer number (3652740).

Almost surely, 2^105192864 is an apocalyptic number.

105192864 is a gapful number since it is divisible by the number (14) 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 105192864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175331520).

105192864 is an abundant number, since it is smaller than the sum of its proper divisors (245470176).

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

105192864 is a wasteful number, since it uses less digits than its factorization.

105192864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17419 (or 17405 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 105192864 is about 10256.3572480681. The cubic root of 105192864 is about 472.0580700363.

The spelling of 105192864 in words is "one hundred five million, one hundred ninety-two thousand, eight hundred sixty-four".