101253320 has 64 divisors (see below), whose sum is σ = 265317120. Its totient is φ = 34055424.

The previous prime is 101253301. The next prime is 101253359. The reversal of 101253320 is 23352101.

It is a super-2 number, since 2×101253320² = 20504469622044800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11429 + ... + 18251.

It is an arithmetic number, because the mean of its divisors is an integer number (4145580).

Almost surely, 2^101253320 is an apocalyptic number.

101253320 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 101253320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132658560).

101253320 is an abundant number, since it is smaller than the sum of its proper divisors (164063800).

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

101253320 is a wasteful number, since it uses less digits than its factorization.

101253320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6894 (or 6890 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 101253320 is about 10062.4708695231. The cubic root of 101253320 is about 466.0899701643.

The spelling of 101253320 in words is "one hundred one million, two hundred fifty-three thousand, three hundred twenty".