100415601 has 72 divisors (see below), whose sum is σ = 176897448. Its totient is φ = 54489600.

The previous prime is 100415593. The next prime is 100415629. The reversal of 100415601 is 106514001.

100415601 is a `hidden beast` number, since 100 + 4 + 1 + 560 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2405601 + 98010000 = 1551^2 + 9900^2 .

It is not a de Polignac number, because 100415601 - 2³ = 100415593 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100415101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 580351 + ... + 580523.

It is an arithmetic number, because the mean of its divisors is an integer number (2456909).

Almost surely, 2^100415601 is an apocalyptic number.

100415601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100415601 is a deficient number, since it is larger than the sum of its proper divisors (76481847).

100415601 is a wasteful number, since it uses less digits than its factorization.

100415601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 100415601 is about 10020.7585042251. The cubic root of 100415601 is about 464.8010109385.

Adding to 100415601 its reverse (106514001), we get a palindrome (206929602).

The spelling of 100415601 in words is "one hundred million, four hundred fifteen thousand, six hundred one".