101628632 has 32 divisors (see below), whose sum is σ = 218100000. Its totient is φ = 43490304.

The previous prime is 101628607. The next prime is 101628643. The reversal of 101628632 is 236826101.

It is a junction number, because it is equal to n+sod(n) for n = 101628595 and 101628604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69218 + ... + 70670.

It is an arithmetic number, because the mean of its divisors is an integer number (6815625).

Almost surely, 2^101628632 is an apocalyptic number.

It is an amenable number.

101628632 is an abundant number, since it is smaller than the sum of its proper divisors (116471368).

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

101628632 is a wasteful number, since it uses less digits than its factorization.

101628632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 101628632 is about 10081.1027174610. The cubic root of 101628632 is about 466.6651396775.

The spelling of 101628632 in words is "one hundred one million, six hundred twenty-eight thousand, six hundred thirty-two".