26101000 has 64 divisors (see below), whose sum is σ = 62599680. Its totient is φ = 10180800.

The previous prime is 26100983. The next prime is 26101037. The reversal of 26101000 is 10162.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 42697 + ... + 43303.

It is an arithmetic number, because the mean of its divisors is an integer number (978120).

Almost surely, 2^26101000 is an apocalyptic number.

26101000 is a gapful number since it is divisible by the number (20) 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 26101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31299840).

26101000 is an abundant number, since it is smaller than the sum of its proper divisors (36498680).

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

26101000 is a wasteful number, since it uses less digits than its factorization.

26101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 26101000 is about 5108.9137788771. The cubic root of 26101000 is about 296.6327164505.

Adding to 26101000 its reverse (10162), we get a palindrome (26111162).

The spelling of 26101000 in words is "twenty-six million, one hundred one thousand".