100415144 has 8 divisors (see below), whose sum is σ = 188278410. Its totient is φ = 50207568.

The previous prime is 100415137. The next prime is 100415153. The reversal of 100415144 is 441514001.

It can be written as a sum of positive squares in only one way, i.e., 95844100 + 4571044 = 9790^2 + 2138^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×100415144² = 20166402289081472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6275939 + ... + 6275954.

Almost surely, 2^100415144 is an apocalyptic number.

It is an amenable number.

100415144 is a deficient number, since it is larger than the sum of its proper divisors (87863266).

100415144 is a wasteful number, since it uses less digits than its factorization.

100415144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12551899 (or 12551895 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 100415144 is about 10020.7357015341. The cubic root of 100415144 is about 464.8003058211.

Adding to 100415144 its reverse (441514001), we get a palindrome (541929145).

The spelling of 100415144 in words is "one hundred million, four hundred fifteen thousand, one hundred forty-four".