101830752 has 72 divisors (see below), whose sum is σ = 302191344. Its totient is φ = 32465664.

The previous prime is 101830739. The next prime is 101830783. The reversal of 101830752 is 257038101.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1063 + ... + 14310.

It is an arithmetic number, because the mean of its divisors is an integer number (4197102).

Almost surely, 2^101830752 is an apocalyptic number.

101830752 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 101830752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151095672).

101830752 is an abundant number, since it is smaller than the sum of its proper divisors (200360592).

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

101830752 is a wasteful number, since it uses less digits than its factorization.

101830752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15412 (or 15401 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 101830752 is about 10091.1224350912. The cubic root of 101830752 is about 466.9743041831.

Adding to 101830752 its reverse (257038101), we get a palindrome (358868853).

The spelling of 101830752 in words is "one hundred one million, eight hundred thirty thousand, seven hundred fifty-two".