100854072 has 80 divisors (see below), whose sum is σ = 308187000. Its totient is φ = 30559680.

The previous prime is 100854053. The next prime is 100854079. The reversal of 100854072 is 270458001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100854079) 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 19 ways as a sum of consecutive naturals, for example, 54 + ... + 14202.

Almost surely, 2^100854072 is an apocalyptic number.

100854072 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 100854072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154093500).

100854072 is an abundant number, since it is smaller than the sum of its proper divisors (207332928).

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

100854072 is a wasteful number, since it uses less digits than its factorization.

100854072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14178 (or 14165 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 100854072 is about 10042.6128074321. The cubic root of 100854072 is about 465.4765561787.

The spelling of 100854072 in words is "one hundred million, eight hundred fifty-four thousand, seventy-two".