100414131 has 8 divisors (see below), whose sum is σ = 134476224. Its totient is φ = 66647400.

The previous prime is 100414129. The next prime is 100414133. The reversal of 100414131 is 131414001.

It is an interprime number because it is at equal distance from previous prime (100414129) and next prime (100414133).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100414131 - 2¹ = 100414129 is a prime.

It is a super-2 number, since 2×100414131² = 20165995408970322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100414131.

It is not an unprimeable number, because it can be changed into a prime (100414133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73045 + ... + 74406.

It is an arithmetic number, because the mean of its divisors is an integer number (16809528).

Almost surely, 2^100414131 is an apocalyptic number.

100414131 is a deficient number, since it is larger than the sum of its proper divisors (34062093).

100414131 is a wasteful number, since it uses less digits than its factorization.

100414131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147681.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 100414131 is about 10020.6851562156. The cubic root of 100414131 is about 464.7987428288.

Adding to 100414131 its reverse (131414001), we get a palindrome (231828132).

The spelling of 100414131 in words is "one hundred million, four hundred fourteen thousand, one hundred thirty-one".