100114641 has 24 divisors (see below), whose sum is σ = 163200960. Its totient is φ = 58581600.

The previous prime is 100114639. The next prime is 100114669. The reversal of 100114641 is 146411001.

100114641 is a `hidden beast` number, since 10 + 0 + 1 + 14 + 641 = 666.

It is not a de Polignac number, because 100114641 - 2¹ = 100114639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100114601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14565 + ... + 20306.

It is an arithmetic number, because the mean of its divisors is an integer number (6800040).

Almost surely, 2^100114641 is an apocalyptic number.

100114641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100114641 is a deficient number, since it is larger than the sum of its proper divisors (63086319).

100114641 is a wasteful number, since it uses less digits than its factorization.

100114641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34917 (or 34914 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 100114641 is about 10005.7304081211. The cubic root of 100114641 is about 464.3361877525.

Adding to 100114641 its reverse (146411001), we get a palindrome (246525642).

It can be divided in two parts, 1001 and 14641, that multiplied together give a palindrome (14655641).

The spelling of 100114641 in words is "one hundred million, one hundred fourteen thousand, six hundred forty-one".