101628520 has 64 divisors (see below), whose sum is σ = 264539520. Its totient is φ = 34416384.

The previous prime is 101628497. The next prime is 101628551. The reversal of 101628520 is 25826101.

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, 21054 + ... + 25426.

It is an arithmetic number, because the mean of its divisors is an integer number (4133430).

Almost surely, 2^101628520 is an apocalyptic number.

101628520 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 101628520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132269760).

101628520 is an abundant number, since it is smaller than the sum of its proper divisors (162911000).

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

101628520 is a wasteful number, since it uses less digits than its factorization.

101628520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4474 (or 4470 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 101628520 is about 10081.0971625116. The cubic root of 101628520 is about 466.6649682478.

The spelling of 101628520 in words is "one hundred one million, six hundred twenty-eight thousand, five hundred twenty".