100672220 has 48 divisors (see below), whose sum is σ = 236277216. Its totient is φ = 35712000.

The previous prime is 100672211. The next prime is 100672237. The reversal of 100672220 is 22276001.

It is a super-3 number, since 3×100672220³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100672192 and 100672201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3440 + ... + 14600.

It is an arithmetic number, because the mean of its divisors is an integer number (4922442).

Almost surely, 2^100672220 is an apocalyptic number.

100672220 is a gapful number since it is divisible by the number (10) 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 100672220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118138608).

100672220 is an abundant number, since it is smaller than the sum of its proper divisors (135604996).

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

100672220 is a wasteful number, since it uses less digits than its factorization.

100672220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11222 (or 11220 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 100672220 is about 10033.5547040917. The cubic root of 100672220 is about 465.1966178189.

It can be divided in two parts, 100672 and 220, that multiplied together give a triangular number (22147840 = T₆₆₅₅).

The spelling of 100672220 in words is "one hundred million, six hundred seventy-two thousand, two hundred twenty".