31107006 has 48 divisors (see below), whose sum is σ = 77395968. Its totient is φ = 8845200.

The previous prime is 31106993. The next prime is 31107019. The reversal of 31107006 is 60070113.

It is an interprime number because it is at equal distance from previous prime (31106993) and next prime (31107019).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 31107006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33691 + ... + 34601.

It is an arithmetic number, because the mean of its divisors is an integer number (1612416).

Almost surely, 2^31107006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31107006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38697984).

31107006 is an abundant number, since it is smaller than the sum of its proper divisors (46288962).

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

31107006 is a wasteful number, since it uses less digits than its factorization.

31107006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 31107006 is about 5577.3655071189. The cubic root of 31107006 is about 314.4990980855.

Adding to 31107006 its reverse (60070113), we get a palindrome (91177119).

The spelling of 31107006 in words is "thirty-one million, one hundred seven thousand, six".