100107864 has 24 divisors (see below), whose sum is σ = 271125660. Its totient is φ = 33369264.

The previous prime is 100107859. The next prime is 100107869. The reversal of 100107864 is 468701001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100107859) and next prime (100107869).

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100107869) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 695122 + ... + 695265.

Almost surely, 2^100107864 is an apocalyptic number.

It is an amenable number.

100107864 is an abundant number, since it is smaller than the sum of its proper divisors (171017796).

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

100107864 is a wasteful number, since it uses less digits than its factorization.

100107864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390399 (or 1390392 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 100107864 is about 10005.3917464535. The cubic root of 100107864 is about 464.3257101729.

Adding to 100107864 its reverse (468701001), we get a palindrome (568808865).

The spelling of 100107864 in words is "one hundred million, one hundred seven thousand, eight hundred sixty-four".