10340100 has 54 divisors (see below), whose sum is σ = 32413290. Its totient is φ = 2757120.

The previous prime is 10340093. The next prime is 10340101. The reversal of 10340100 is 104301.

It can be written as a sum of positive squares in 3 ways, for example, as 112896 + 10227204 = 336^2 + 3198^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10340101) 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 17 ways as a sum of consecutive naturals, for example, 4845 + ... + 6644.

Almost surely, 2^10340100 is an apocalyptic number.

10340100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10340100 is an abundant number, since it is smaller than the sum of its proper divisors (22073190).

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

10340100 is a wasteful number, since it uses less digits than its factorization.

10340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11509 (or 11499 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10340100 is about 3215.6025873854. The cubic root of 10340100 is about 217.8587025905.

Adding to 10340100 its reverse (104301), we get a palindrome (10444401).

It can be divided in two parts, 10340 and 100, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 10340100 in words is "ten million, three hundred forty thousand, one hundred".