101206840 has 64 divisors (see below), whose sum is σ = 267307200. Its totient is φ = 33758208.

The previous prime is 101206817. The next prime is 101206841. The reversal of 101206840 is 48602101.

101206840 = 81² + 82² + ... + 672².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101206841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5476 + ... + 15244.

It is an arithmetic number, because the mean of its divisors is an integer number (4176675).

Almost surely, 2^101206840 is an apocalyptic number.

101206840 is a gapful number since it is divisible by the number (10) 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 101206840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133653600).

101206840 is an abundant number, since it is smaller than the sum of its proper divisors (166100360).

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

101206840 is a wasteful number, since it uses less digits than its factorization.

101206840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9824 (or 9820 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 101206840 is about 10060.1610325084. The cubic root of 101206840 is about 466.0186402314.

Adding to 101206840 its reverse (48602101), we get a palindrome (149808941).

The spelling of 101206840 in words is "one hundred one million, two hundred six thousand, eight hundred forty".