100842672 has 80 divisors (see below), whose sum is σ = 310694400. Its totient is φ = 27557376.

The previous prime is 100842667. The next prime is 100842673. The reversal of 100842672 is 276248001.

It is not an unprimeable number, because it can be changed into a prime (100842673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1204 + ... + 14252.

It is an arithmetic number, because the mean of its divisors is an integer number (3883680).

Almost surely, 2^100842672 is an apocalyptic number.

100842672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100842672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155347200).

100842672 is an abundant number, since it is smaller than the sum of its proper divisors (209851728).

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

100842672 is a wasteful number, since it uses less digits than its factorization.

100842672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13090 (or 13084 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 100842672 is about 10042.0452100157. The cubic root of 100842672 is about 465.4590171985.

It can be divided in two parts, 100842 and 672, that multiplied together give a square (67765824 = 8232²).

The spelling of 100842672 in words is "one hundred million, eight hundred forty-two thousand, six hundred seventy-two".