101137872 has 160 divisors (see below), whose sum is σ = 303980544. Its totient is φ = 28684800.

The previous prime is 101137871. The next prime is 101137873. The reversal of 101137872 is 278731101.

It is an interprime number because it is at equal distance from previous prime (101137871) and next prime (101137873).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101137871) 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 31 ways as a sum of consecutive naturals, for example, 605533 + ... + 605699.

Almost surely, 2^101137872 is an apocalyptic number.

101137872 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 101137872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151990272).

101137872 is an abundant number, since it is smaller than the sum of its proper divisors (202842672).

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

101137872 is a wasteful number, since it uses less digits than its factorization.

101137872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 101137872 is about 10056.7326702066. The cubic root of 101137872 is about 465.9127591233.

Adding to 101137872 its reverse (278731101), we get a palindrome (379868973).

It can be divided in two parts, 1011 and 37872, that added together give a palindrome (38883).

The spelling of 101137872 in words is "one hundred one million, one hundred thirty-seven thousand, eight hundred seventy-two".