100638461 has 16 divisors (see below), whose sum is σ = 125746560. Its totient is φ = 78247680.

The previous prime is 100638451. The next prime is 100638463. The reversal of 100638461 is 164836001.

It is not a de Polignac number, because 100638461 - 2⁶ = 100638397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100638463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42665 + ... + 44961.

It is an arithmetic number, because the mean of its divisors is an integer number (7859160).

Almost surely, 2^100638461 is an apocalyptic number.

100638461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100638461 is a deficient number, since it is larger than the sum of its proper divisors (25108099).

100638461 is a wasteful number, since it uses less digits than its factorization.

100638461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884.

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 100638461 is about 10031.8722579586. The cubic root of 100638461 is about 465.1446129779.

The spelling of 100638461 in words is "one hundred million, six hundred thirty-eight thousand, four hundred sixty-one".