10261300 has 72 divisors (see below), whose sum is σ = 25873344. Its totient is φ = 3459840.

The previous prime is 10261291. The next prime is 10261301. The reversal of 10261300 is 316201.

10261300 = T₁₂₅ + T₁₂₆ + ... + T₃₉₈.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10261301) 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 23 ways as a sum of consecutive naturals, for example, 74832 + ... + 74968.

It is an arithmetic number, because the mean of its divisors is an integer number (359352).

Almost surely, 2^10261300 is an apocalyptic number.

10261300 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 10261300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12936672).

10261300 is an abundant number, since it is smaller than the sum of its proper divisors (15612044).

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

10261300 is a wasteful number, since it uses less digits than its factorization.

10261300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 10261300 is about 3203.3263961076. The cubic root of 10261300 is about 217.3038704043.

Adding to 10261300 its reverse (316201), we get a palindrome (10577501).

The spelling of 10261300 in words is "ten million, two hundred sixty-one thousand, three hundred".