101345472 has 112 divisors (see below), whose sum is σ = 300410880. Its totient is φ = 33502464.

The previous prime is 101345467. The next prime is 101345501. The reversal of 101345472 is 274543101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385213 + ... + 385475.

It is an arithmetic number, because the mean of its divisors is an integer number (2682240).

Almost surely, 2^101345472 is an apocalyptic number.

101345472 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 101345472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150205440).

101345472 is an abundant number, since it is smaller than the sum of its proper divisors (199065408).

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

101345472 is a wasteful number, since it uses less digits than its factorization.

101345472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 101345472 is about 10067.0488227683. The cubic root of 101345472 is about 466.2313255272.

Adding to 101345472 its reverse (274543101), we get a palindrome (375888573).

The spelling of 101345472 in words is "one hundred one million, three hundred forty-five thousand, four hundred seventy-two".