101137086 has 56 divisors (see below), whose sum is σ = 230894064. Its totient is φ = 33203520.

The previous prime is 101137079. The next prime is 101137087. The reversal of 101137086 is 680731101.

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 (101137087) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 103030 + ... + 104006.

Almost surely, 2^101137086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101137086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115447032).

101137086 is an abundant number, since it is smaller than the sum of its proper divisors (129756978).

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

101137086 is an frugal number, since it uses more digits than its factorization.

101137086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 101137086 is about 10056.6935918323. The cubic root of 101137086 is about 465.9115521624.

Adding to 101137086 its reverse (680731101), we get a palindrome (781868187).

The spelling of 101137086 in words is "one hundred one million, one hundred thirty-seven thousand, eighty-six".