100312938 has 64 divisors (see below), whose sum is σ = 245831040. Its totient is φ = 30067200.

The previous prime is 100312873. The next prime is 100312939. The reversal of 100312938 is 839213001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100312939) 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 31 ways as a sum of consecutive naturals, for example, 56748 + ... + 58488.

It is an arithmetic number, because the mean of its divisors is an integer number (3841110).

Almost surely, 2^100312938 is an apocalyptic number.

100312938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100312938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122915520).

100312938 is an abundant number, since it is smaller than the sum of its proper divisors (145518102).

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

100312938 is a wasteful number, since it uses less digits than its factorization.

100312938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 100312938 is about 10015.6346778424. The cubic root of 100312938 is about 464.6425556889.

Adding to 100312938 its reverse (839213001), we get a palindrome (939525939).

The spelling of 100312938 in words is "one hundred million, three hundred twelve thousand, nine hundred thirty-eight".