101136672 has 288 divisors, whose sum is σ = 376451712. Its totient is φ = 24993792.

The previous prime is 101136661. The next prime is 101136683. The reversal of 101136672 is 276631101.

It is an interprime number because it is at equal distance from previous prime (101136661) and next prime (101136683).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445423 + ... + 445649.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 2^101136672 is an apocalyptic number.

101136672 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 101136672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188225856).

101136672 is an abundant number, since it is smaller than the sum of its proper divisors (275315040).

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

101136672 is a wasteful number, since it uses less digits than its factorization.

101136672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 101136672 is about 10056.6730085053. The cubic root of 101136672 is about 465.9109164323.

Adding to 101136672 its reverse (276631101), we get a palindrome (377767773).

The spelling of 101136672 in words is "one hundred one million, one hundred thirty-six thousand, six hundred seventy-two".