101045472 has 96 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 30289920.

The previous prime is 101045459. The next prime is 101045479. The reversal of 101045472 is 274540101.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101045479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108304 + ... + 109232.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^101045472 is an apocalyptic number.

101045472 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 101045472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

101045472 is an abundant number, since it is smaller than the sum of its proper divisors (191435808).

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

101045472 is a wasteful number, since it uses less digits than its factorization.

101045472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 101045472 is about 10052.1376831000. The cubic root of 101045472 is about 465.7708292505.

Adding to 101045472 its reverse (274540101), we get a palindrome (375585573).

It can be divided in two parts, 10104 and 5472, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 101045472 in words is "one hundred one million, forty-five thousand, four hundred seventy-two".