101628630 has 48 divisors (see below), whose sum is σ = 264934800. Its totient is φ = 27029184.

The previous prime is 101628607. The next prime is 101628643. The reversal of 101628630 is 36826101.

101628630 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 28 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 101628594 and 101628603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38596 + ... + 41144.

It is an arithmetic number, because the mean of its divisors is an integer number (5519475).

Almost surely, 2^101628630 is an apocalyptic number.

101628630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101628630 is an abundant number, since it is smaller than the sum of its proper divisors (163306170).

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

101628630 is a wasteful number, since it uses less digits than its factorization.

101628630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 101628630 is about 10081.1026182655. The cubic root of 101628630 is about 466.6651366163.

It can be divided in two parts, 1016 and 28630, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 101628630 in words is "one hundred one million, six hundred twenty-eight thousand, six hundred thirty".