101837106 has 48 divisors (see below), whose sum is σ = 267007104. Its totient is φ = 27384192.

The previous prime is 101837081. The next prime is 101837107. The reversal of 101837106 is 601738101.

It is a self number, because there is not a number n which added to its sum of digits gives 101837106.

It is not an unprimeable number, because it can be changed into a prime (101837107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21630 + ... + 25913.

It is an arithmetic number, because the mean of its divisors is an integer number (5562648).

Almost surely, 2^101837106 is an apocalyptic number.

101837106 is an abundant number, since it is smaller than the sum of its proper divisors (165169998).

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

101837106 is a wasteful number, since it uses less digits than its factorization.

101837106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47575 (or 47572 counting only the distinct ones).

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

The square root of 101837106 is about 10091.4372613617. The cubic root of 101837106 is about 466.9840166814.

The spelling of 101837106 in words is "one hundred one million, eight hundred thirty-seven thousand, one hundred six".