10468100 has 18 divisors (see below), whose sum is σ = 22715994. Its totient is φ = 4187200.

The previous prime is 10468097. The next prime is 10468103. The reversal of 10468100 is 186401.

It is an interprime number because it is at equal distance from previous prime (10468097) and next prime (10468103).

It can be written as a sum of positive squares in 3 ways, for example, as 215296 + 10252804 = 464^2 + 3202^2 .

It is a super-2 number, since 2×10468100² = 219162235220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10468103) 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 5 ways as a sum of consecutive naturals, for example, 52241 + ... + 52440.

Almost surely, 2^10468100 is an apocalyptic number.

10468100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10468100 is an abundant number, since it is smaller than the sum of its proper divisors (12247894).

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

10468100 is a wasteful number, since it uses less digits than its factorization.

10468100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104695 (or 104688 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 10468100 is about 3235.4443280638. Note that the first 3 decimals coincide. The cubic root of 10468100 is about 218.7539754380.

The spelling of 10468100 in words is "ten million, four hundred sixty-eight thousand, one hundred".