100306127107164 has 144 divisors (see below), whose sum is σ = 260394770200320. Its totient is φ = 30025394995200.

The previous prime is 100306127107141. The next prime is 100306127107171. The reversal of 100306127107164 is 461701721603001.

It is a happy number.

It is a super-2 number, since 2×100306127107164² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 925629217 + ... + 925737575.

It is an arithmetic number, because the mean of its divisors is an integer number (1808297015280).

Almost surely, 2^{100306127107164} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100306127107164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130197385100160).

100306127107164 is an abundant number, since it is smaller than the sum of its proper divisors (160088643093156).

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

100306127107164 is a wasteful number, since it uses less digits than its factorization.

100306127107164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116152 (or 116139 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 100306127107164 in words is "one hundred trillion, three hundred six billion, one hundred twenty-seven million, one hundred seven thousand, one hundred sixty-four".