101254116 has 48 divisors (see below), whose sum is σ = 251213760. Its totient is φ = 31651200.

The previous prime is 101254039. The next prime is 101254117. The reversal of 101254116 is 611452101.

It is a junction number, because it is equal to n+sod(n) for n = 101254092 and 101254101.

It is not an unprimeable number, because it can be changed into a prime (101254117) 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, 20830 + ... + 25226.

It is an arithmetic number, because the mean of its divisors is an integer number (5233620).

Almost surely, 2^101254116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101254116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125606880).

101254116 is an abundant number, since it is smaller than the sum of its proper divisors (149959644).

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

101254116 is a wasteful number, since it uses less digits than its factorization.

101254116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4524 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 101254116 is about 10062.5104223549. The cubic root of 101254116 is about 466.0911915453.

It can be divided in two parts, 10125 and 4116, that added together give a palindrome (14241).

The spelling of 101254116 in words is "one hundred one million, two hundred fifty-four thousand, one hundred sixteen".