101225544 has 128 divisors (see below), whose sum is σ = 304128000. Its totient is φ = 27465984.

The previous prime is 101225503. The next prime is 101225549. The reversal of 101225544 is 445522101.

It is a super-2 number, since 2×101225544² = 20493221516191872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (101225549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384757 + ... + 385019.

It is an arithmetic number, because the mean of its divisors is an integer number (2376000).

Almost surely, 2^101225544 is an apocalyptic number.

101225544 is a gapful number since it is divisible by the number (14) 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 101225544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152064000).

101225544 is an abundant number, since it is smaller than the sum of its proper divisors (202902456).

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

101225544 is a wasteful number, since it uses less digits than its factorization.

101225544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 101225544 is about 10061.0905969482. The cubic root of 101225544 is about 466.0473467093.

Adding to 101225544 its reverse (445522101), we get a palindrome (546747645).

The spelling of 101225544 in words is "one hundred one million, two hundred twenty-five thousand, five hundred forty-four".