100400113 has 12 divisors (see below), whose sum is σ = 116851140. Its totient is φ = 85902080.

The previous prime is 100400107. The next prime is 100400119. The reversal of 100400113 is 311004001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100400107) and next prime (100400119).

It can be written as a sum of positive squares in 2 ways, for example, as 57274624 + 43125489 = 7568^2 + 6567^2 .

It is not a de Polignac number, because 100400113 - 2¹⁷ = 100269041 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100400113.

It is not an unprimeable number, because it can be changed into a prime (100400119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22348 + ... + 26461.

It is an arithmetic number, because the mean of its divisors is an integer number (9737595).

Almost surely, 2^100400113 is an apocalyptic number.

It is an amenable number.

100400113 is a deficient number, since it is larger than the sum of its proper divisors (16451027).

100400113 is a wasteful number, since it uses less digits than its factorization.

100400113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48848 (or 48837 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 100400113 is about 10019.9856786325. The cubic root of 100400113 is about 464.7771128984. Note that the first 3 decimals are identical.

Adding to 100400113 its reverse (311004001), we get a palindrome (411404114).

The spelling of 100400113 in words is "one hundred million, four hundred thousand, one hundred thirteen".