101073220 has 48 divisors (see below), whose sum is σ = 218611008. Its totient is φ = 39231360.

The previous prime is 101073199. The next prime is 101073221. The reversal of 101073220 is 22370101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101073194 and 101073203.

It is not an unprimeable number, because it can be changed into a prime (101073221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181182 + ... + 181738.

It is an arithmetic number, because the mean of its divisors is an integer number (4554396).

Almost surely, 2^101073220 is an apocalyptic number.

101073220 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 101073220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109305504).

101073220 is an abundant number, since it is smaller than the sum of its proper divisors (117537788).

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

101073220 is a wasteful number, since it uses less digits than its factorization.

101073220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 101073220 is about 10053.5177922954. The cubic root of 101073220 is about 465.8134603084.

The spelling of 101073220 in words is "one hundred one million, seventy-three thousand, two hundred twenty".