10350100 has 72 divisors (see below), whose sum is σ = 24060960. Its totient is φ = 3857280.

The previous prime is 10350097. The next prime is 10350101. The reversal of 10350100 is 105301.

10350100 = 301² + 302² + ... + 387².

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10350101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124659 + ... + 124741.

It is an arithmetic number, because the mean of its divisors is an integer number (334180).

Almost surely, 2^10350100 is an apocalyptic number.

10350100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10350100 is the 1720-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10350100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12030480).

10350100 is an abundant number, since it is smaller than the sum of its proper divisors (13710860).

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

10350100 is a wasteful number, since it uses less digits than its factorization.

10350100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 10350100 is about 3217.1571301383. The cubic root of 10350100 is about 217.9289109732.

Adding to 10350100 its reverse (105301), we get a palindrome (10455401).

The spelling of 10350100 in words is "ten million, three hundred fifty thousand, one hundred".