101631348 has 168 divisors, whose sum is σ = 329054208. Its totient is φ = 26733888.

The previous prime is 101631347. The next prime is 101631359. The reversal of 101631348 is 843136101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101631347) 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 55 ways as a sum of consecutive naturals, for example, 265165 + ... + 265547.

It is an arithmetic number, because the mean of its divisors is an integer number (1958656).

Almost surely, 2^101631348 is an apocalyptic number.

101631348 is a gapful number since it is divisible by the number (18) 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 101631348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164527104).

101631348 is an abundant number, since it is smaller than the sum of its proper divisors (227422860).

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

101631348 is a wasteful number, since it uses less digits than its factorization.

101631348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 101631348 is about 10081.2374240467. The cubic root of 101631348 is about 466.6692968106.

Adding to 101631348 its reverse (843136101), we get a palindrome (944767449).

It can be divided in two parts, 10163 and 1348, that added together give a palindrome (11511).

The spelling of 101631348 in words is "one hundred one million, six hundred thirty-one thousand, three hundred forty-eight".