100132461 has 48 divisors (see below), whose sum is σ = 171592512. Its totient is φ = 55931040.

The previous prime is 100132411. The next prime is 100132463. The reversal of 100132461 is 164231001.

It is a happy number.

It is not a de Polignac number, because 100132461 - 2²⁶ = 33023597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100132463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155406 + ... + 156048.

It is an arithmetic number, because the mean of its divisors is an integer number (3574844).

Almost surely, 2^100132461 is an apocalyptic number.

100132461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100132461 is a deficient number, since it is larger than the sum of its proper divisors (71460051).

100132461 is a wasteful number, since it uses less digits than its factorization.

100132461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100132461 is about 10006.6208582118. The cubic root of 100132461 is about 464.3637361041.

Adding to 100132461 its reverse (164231001), we get a palindrome (264363462).

The spelling of 100132461 in words is "one hundred million, one hundred thirty-two thousand, four hundred sixty-one".