101408461 has 16 divisors (see below), whose sum is σ = 128170368. Its totient is φ = 77932800.

The previous prime is 101408441. The next prime is 101408509. The reversal of 101408461 is 164804101.

It is not a de Polignac number, because 101408461 - 2⁹ = 101407949 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 (101408431) 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, 3400 + ... + 14641.

It is an arithmetic number, because the mean of its divisors is an integer number (8010648).

Almost surely, 2^101408461 is an apocalyptic number.

101408461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101408461 is a deficient number, since it is larger than the sum of its proper divisors (26761907).

101408461 is a wasteful number, since it uses less digits than its factorization.

101408461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18132.

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 101408461 is about 10070.1768107616. The cubic root of 101408461 is about 466.3278973893.

The spelling of 101408461 in words is "one hundred one million, four hundred eight thousand, four hundred sixty-one".