100051668 has 36 divisors (see below), whose sum is σ = 253276660. Its totient is φ = 33302016.

The previous prime is 100051667. The next prime is 100051687. The reversal of 100051668 is 866150001.

It can be written as a sum of positive squares in 2 ways, for example, as 83503044 + 16548624 = 9138^2 + 4068^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100051667) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29988 + ... + 33156.

Almost surely, 2^100051668 is an apocalyptic number.

100051668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100051668 is an abundant number, since it is smaller than the sum of its proper divisors (153224992).

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

100051668 is a wasteful number, since it uses less digits than its factorization.

100051668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4051 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 100051668 is about 10002.5830663884. The cubic root of 100051668 is about 464.2388101346.

The spelling of 100051668 in words is "one hundred million, fifty-one thousand, six hundred sixty-eight".