10361000 has 64 divisors (see below), whose sum is σ = 26142480. Its totient is φ = 3820800.

The previous prime is 10360997. The next prime is 10361003. The reversal of 10361000 is 16301.

It is an interprime number because it is at equal distance from previous prime (10360997) and next prime (10361003).

It can be written as a sum of positive squares in 8 ways, for example, as 5476 + 10355524 = 74^2 + 3218^2 .

It is a super-3 number, since 3×10361000³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10361003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12602 + ... + 13398.

Almost surely, 2^10361000 is an apocalyptic number.

10361000 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 10361000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13071240).

10361000 is an abundant number, since it is smaller than the sum of its proper divisors (15781480).

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

10361000 is a wasteful number, since it uses less digits than its factorization.

10361000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 10361000 is about 3218.8507265793. The cubic root of 10361000 is about 218.0053866189.

Adding to 10361000 its reverse (16301), we get a palindrome (10377301).

It can be divided in two parts, 10 and 361000, that multiplied together give a square (3610000 = 1900²).

The spelling of 10361000 in words is "ten million, three hundred sixty-one thousand".