105026640 has 80 divisors (see below), whose sum is σ = 333187008. Its totient is φ = 27353088.

The previous prime is 105026617. The next prime is 105026657. The reversal of 105026640 is 46620501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105026640² = 22061190219379200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 105026640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5232 + ... + 15408.

Almost surely, 2^105026640 is an apocalyptic number.

105026640 is a gapful number since it is divisible by the number (10) 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 105026640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166593504).

105026640 is an abundant number, since it is smaller than the sum of its proper divisors (228160368).

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

105026640 is a wasteful number, since it uses less digits than its factorization.

105026640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10236 (or 10230 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105026640 is about 10248.2505824165. The cubic root of 105026640 is about 471.8092928698.

The spelling of 105026640 in words is "one hundred five million, twenty-six thousand, six hundred forty".