100354672 has 60 divisors (see below), whose sum is σ = 225438696. Its totient is φ = 42910720.

The previous prime is 100354603. The next prime is 100354691. The reversal of 100354672 is 276453001.

It is a self number, because there is not a number n which added to its sum of digits gives 100354672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49878 + ... + 51850.

Almost surely, 2^100354672 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 100354672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112719348).

100354672 is an abundant number, since it is smaller than the sum of its proper divisors (125084024).

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

100354672 is a wasteful number, since it uses less digits than its factorization.

100354672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 100354672 is about 10017.7179037943. The cubic root of 100354672 is about 464.7069830839.

The spelling of 100354672 in words is "one hundred million, three hundred fifty-four thousand, six hundred seventy-two".