10413400100 has 18 divisors (see below), whose sum is σ = 22597078434. Its totient is φ = 4165360000.

The previous prime is 10413400087. The next prime is 10413400147. The reversal of 10413400100 is 100431401.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2259671296 + 8153728804 = 47536^2 + 90298^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52066901 + ... + 52067100.

Almost surely, 2^10413400100 is an apocalyptic number.

10413400100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10413400100 is an abundant number, since it is smaller than the sum of its proper divisors (12183678334).

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

10413400100 is a wasteful number, since it uses less digits than its factorization.

10413400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104134015 (or 104134008 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10413400100 its reverse (100431401), we get a palindrome (10513831501).

The spelling of 10413400100 in words is "ten billion, four hundred thirteen million, four hundred thousand, one hundred".