100100001672 has 96 divisors (see below), whose sum is σ = 305290402560. Its totient is φ = 29354832000.

The previous prime is 100100001667. The next prime is 100100001707. The reversal of 100100001672 is 276100001001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2013979 + ... + 2063082.

It is an arithmetic number, because the mean of its divisors is an integer number (3180108360).

Almost surely, 2^100100001672 is an apocalyptic number.

100100001672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100100001672 is an abundant number, since it is smaller than the sum of its proper divisors (205190400888).

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

100100001672 is a wasteful number, since it uses less digits than its factorization.

100100001672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077115 (or 4077108 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 100100001672 its reverse (276100001001), we get a palindrome (376200002673).

The spelling of 100100001672 in words is "one hundred billion, one hundred million, one thousand, six hundred seventy-two".