100006461 has 32 divisors (see below), whose sum is σ = 163710720. Its totient is φ = 60014592.

The previous prime is 100006457. The next prime is 100006477. The reversal of 100006461 is 164600001.

It is not a de Polignac number, because 100006461 - 2² = 100006457 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100006061) 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 31 ways as a sum of consecutive naturals, for example, 5821 + ... + 15293.

It is an arithmetic number, because the mean of its divisors is an integer number (5115960).

Almost surely, 2^100006461 is an apocalyptic number.

It is an amenable number.

100006461 is a deficient number, since it is larger than the sum of its proper divisors (63704259).

100006461 is a wasteful number, since it uses less digits than its factorization.

100006461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9522 (or 9516 counting only the distinct ones).

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

The square root of 100006461 is about 10000.3230447821. The cubic root of 100006461 is about 464.1688795811.

Adding to 100006461 its reverse (164600001), we get a palindrome (264606462).

It can be divided in two parts, 10000 and 6461, that added together give a palindrome (16461).

The spelling of 100006461 in words is "one hundred million, six thousand, four hundred sixty-one".