100373220 has 72 divisors (see below), whose sum is σ = 305532864. Its totient is φ = 26672448.

The previous prime is 100373201. The next prime is 100373227. The reversal of 100373220 is 22373001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100373193 and 100373202.

It is not an unprimeable number, because it can be changed into a prime (100373227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61657 + ... + 63263.

It is an arithmetic number, because the mean of its divisors is an integer number (4243512).

Almost surely, 2^100373220 is an apocalyptic number.

100373220 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 100373220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152766432).

100373220 is an abundant number, since it is smaller than the sum of its proper divisors (205159644).

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

100373220 is a wasteful number, since it uses less digits than its factorization.

100373220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 100373220 is about 10018.6436207702. The cubic root of 100373220 is about 464.7356110624.

The spelling of 100373220 in words is "one hundred million, three hundred seventy-three thousand, two hundred twenty".