100031064 has 64 divisors (see below), whose sum is σ = 289459200. Its totient is φ = 28214784.

The previous prime is 100031059. The next prime is 100031069. The reversal of 100031064 is 460130001.

It is an interprime number because it is at equal distance from previous prime (100031059) and next prime (100031069).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100031069) 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, 9504 + ... + 17040.

It is an arithmetic number, because the mean of its divisors is an integer number (4522800).

Almost surely, 2^100031064 is an apocalyptic number.

100031064 is a gapful number since it is divisible by the number (14) 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 100031064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144729600).

100031064 is an abundant number, since it is smaller than the sum of its proper divisors (189428136).

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

100031064 is a wasteful number, since it uses less digits than its factorization.

100031064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7632 (or 7628 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 100031064 is about 10001.5530793972. The cubic root of 100031064 is about 464.2069404906.

Adding to 100031064 its reverse (460130001), we get a palindrome (560161065).

The spelling of 100031064 in words is "one hundred million, thirty-one thousand, sixty-four".