105026680 has 128 divisors (see below), whose sum is σ = 287712000. Its totient is φ = 34007040.

The previous prime is 105026659. The next prime is 105026687. The reversal of 105026680 is 86620501.

It is a super-2 number, since 2×105026680² = 22061207023644800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105026687) 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, 141751 + ... + 142489.

It is an arithmetic number, because the mean of its divisors is an integer number (2247750).

Almost surely, 2^105026680 is an apocalyptic number.

105026680 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 105026680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143856000).

105026680 is an abundant number, since it is smaller than the sum of its proper divisors (182685320).

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

105026680 is a wasteful number, since it uses less digits than its factorization.

105026680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 105026680 is about 10248.2525339689. The cubic root of 105026680 is about 471.8093527669.

It can be divided in two parts, 1050 and 26680, that added together give a triangular number (27730 = T₂₃₅).

The spelling of 105026680 in words is "one hundred five million, twenty-six thousand, six hundred eighty".