101005460 has 12 divisors (see below), whose sum is σ = 212111508. Its totient is φ = 40402176.

The previous prime is 101005433. The next prime is 101005493. The reversal of 101005460 is 64500101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 45859984 + 55145476 = 6772^2 + 7426^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2525117 + ... + 2525156.

It is an arithmetic number, because the mean of its divisors is an integer number (17675959).

Almost surely, 2^101005460 is an apocalyptic number.

101005460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101005460 is an abundant number, since it is smaller than the sum of its proper divisors (111106048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101005460 is a wasteful number, since it uses less digits than its factorization.

101005460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5050282 (or 5050280 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 101005460 is about 10050.1472626027. The cubic root of 101005460 is about 465.7093424681.

Adding to 101005460 its reverse (64500101), we get a palindrome (165505561).

The spelling of 101005460 in words is "one hundred one million, five thousand, four hundred sixty".