101629920 has 288 divisors, whose sum is σ = 387828000. Its totient is φ = 22278144.

The previous prime is 101629903. The next prime is 101629921. The reversal of 101629920 is 29926101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101629921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 682006 + ... + 682154.

It is an arithmetic number, because the mean of its divisors is an integer number (1346625).

Almost surely, 2^101629920 is an apocalyptic number.

101629920 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 101629920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193914000).

101629920 is an abundant number, since it is smaller than the sum of its proper divisors (286198080).

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

101629920 is a wasteful number, since it uses less digits than its factorization.

101629920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 101629920 is about 10081.1665991590. The cubic root of 101629920 is about 466.6671111107.

The spelling of 101629920 in words is "one hundred one million, six hundred twenty-nine thousand, nine hundred twenty".