101628132 has 48 divisors (see below), whose sum is σ = 241315200. Its totient is φ = 33284608.

The previous prime is 101628113. The next prime is 101628133. The reversal of 101628132 is 231826101.

It is not an unprimeable number, because it can be changed into a prime (101628133) by changing a digit.

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, 201793 + ... + 202295.

It is an arithmetic number, because the mean of its divisors is an integer number (5027400).

Almost surely, 2^101628132 is an apocalyptic number.

101628132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101628132 is an abundant number, since it is smaller than the sum of its proper divisors (139687068).

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

101628132 is a wasteful number, since it uses less digits than its factorization.

101628132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 101628132 is about 10081.0779185561. The cubic root of 101628132 is about 466.6643743652.

The spelling of 101628132 in words is "one hundred one million, six hundred twenty-eight thousand, one hundred thirty-two".