101662220 has 48 divisors (see below), whose sum is σ = 234668448. Its totient is φ = 36687360.

The previous prime is 101662219. The next prime is 101662241. The reversal of 101662220 is 22266101.

It is a happy number.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 101662192 and 101662201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28454 + ... + 31826.

It is an arithmetic number, because the mean of its divisors is an integer number (4888926).

Almost surely, 2^101662220 is an apocalyptic number.

101662220 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 101662220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117334224).

101662220 is an abundant number, since it is smaller than the sum of its proper divisors (133006228).

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

101662220 is a wasteful number, since it uses less digits than its factorization.

101662220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 101662220 is about 10082.7684690267. The cubic root of 101662220 is about 466.7165445554.

It can be divided in two parts, 1016 and 62220, that added together give a palindrome (63236).

The spelling of 101662220 in words is "one hundred one million, six hundred sixty-two thousand, two hundred twenty".