100031022 has 96 divisors (see below), whose sum is σ = 269051328. Its totient is φ = 26155008.

The previous prime is 100031011. The next prime is 100031039. The reversal of 100031022 is 220130001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100030995 and 100031013.

It is a congruent number.

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, 283198 + ... + 283550.

It is an arithmetic number, because the mean of its divisors is an integer number (2802618).

Almost surely, 2^100031022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100031022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134525664).

100031022 is an abundant number, since it is smaller than the sum of its proper divisors (169020306).

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

100031022 is a wasteful number, since it uses less digits than its factorization.

100031022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100031022 is about 10001.5509797231. The cubic root of 100031022 is about 464.2068755218.

Adding to 100031022 its reverse (220130001), we get a palindrome (320161023).

It can be divided in two parts, 10003 and 1022, that added together give a square (11025 = 105²).

The spelling of 100031022 in words is "one hundred million, thirty-one thousand, twenty-two".