31442560100 has 108 divisors (see below), whose sum is σ = 79584125040. Its totient is φ = 10751227200.

The previous prime is 31442560091. The next prime is 31442560109. The reversal of 31442560100 is 106524413.

It is an interprime number because it is at equal distance from previous prime (31442560091) and next prime (31442560109).

It is a super-2 number, since 2×31442560100² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31442560100.

It is not an unprimeable number, because it can be changed into a prime (31442560109) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1848635 + ... + 1865565.

Almost surely, 2^31442560100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31442560100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39792062520).

31442560100 is an abundant number, since it is smaller than the sum of its proper divisors (48141564940).

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

31442560100 is a wasteful number, since it uses less digits than its factorization.

31442560100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17338 (or 17324 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 31442560100 in words is "thirty-one billion, four hundred forty-two million, five hundred sixty thousand, one hundred".