101629944 has 128 divisors (see below), whose sum is σ = 322056000. Its totient is φ = 29417472.

The previous prime is 101629921. The next prime is 101629951. The reversal of 101629944 is 449926101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101629899 and 101629908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46672 + ... + 48800.

Almost surely, 2^101629944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101629944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161028000).

101629944 is an abundant number, since it is smaller than the sum of its proper divisors (220426056).

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

101629944 is a wasteful number, since it uses less digits than its factorization.

101629944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 101629944 is about 10081.1677894974. The cubic root of 101629944 is about 466.6671478453.

The spelling of 101629944 in words is "one hundred one million, six hundred twenty-nine thousand, nine hundred forty-four".