101005254 has 96 divisors (see below), whose sum is σ = 271964160. Its totient is φ = 26438400.

The previous prime is 101005253. The next prime is 101005277. The reversal of 101005254 is 452500101.

It is a super-2 number, since 2×101005254² = 20404122671209032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101005253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73534 + ... + 74894.

It is an arithmetic number, because the mean of its divisors is an integer number (2832960).

Almost surely, 2^101005254 is an apocalyptic number.

101005254 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101005254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135982080).

101005254 is an abundant number, since it is smaller than the sum of its proper divisors (170958906).

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

101005254 is a wasteful number, since it uses less digits than its factorization.

101005254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 101005254 is about 10050.1370139914. The cubic root of 101005254 is about 465.7090258641.

Adding to 101005254 its reverse (452500101), we get a palindrome (553505355).

The spelling of 101005254 in words is "one hundred one million, five thousand, two hundred fifty-four".