100814438007 has 24 divisors (see below), whose sum is σ = 153355138560. Its totient is φ = 63643188240.

The previous prime is 100814437987. The next prime is 100814438059. The reversal of 100814438007 is 700834418001.

It is not a de Polignac number, because 100814438007 - 2⁷ = 100814437879 is a prime.

It is a super-3 number, since 3×100814438007³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100814430007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243832 + ... + 510962.

It is an arithmetic number, because the mean of its divisors is an integer number (6389797440).

Almost surely, 2^100814438007 is an apocalyptic number.

100814438007 is a deficient number, since it is larger than the sum of its proper divisors (52540700553).

100814438007 is a wasteful number, since it uses less digits than its factorization.

100814438007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269363 (or 269360 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 100814438007 in words is "one hundred billion, eight hundred fourteen million, four hundred thirty-eight thousand, seven".