101454912 has 168 divisors, whose sum is σ = 332009496. Its totient is φ = 29343744.

The previous prime is 101454901. The next prime is 101454917. The reversal of 101454912 is 219454101.

101454912 is a `hidden beast` number, since 101 + 4 + 549 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11128896 + 90326016 = 3336^2 + 9504^2 .

It is not an unprimeable number, because it can be changed into a prime (101454917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126898 + ... + 127694.

It is an arithmetic number, because the mean of its divisors is an integer number (1976247).

Almost surely, 2^101454912 is an apocalyptic number.

101454912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101454912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166004748).

101454912 is an abundant number, since it is smaller than the sum of its proper divisors (230554584).

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

101454912 is a wasteful number, since it uses less digits than its factorization.

101454912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 101454912 is about 10072.4829113779. The cubic root of 101454912 is about 466.3990883280.

The spelling of 101454912 in words is "one hundred one million, four hundred fifty-four thousand, nine hundred twelve".