101127630 has 64 divisors (see below), whose sum is σ = 250394688. Its totient is φ = 26127360.

The previous prime is 101127629. The next prime is 101127659. The reversal of 101127630 is 36721101.

It is a junction number, because it is equal to n+sod(n) for n = 101127597 and 101127606.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 133212 + ... + 133968.

It is an arithmetic number, because the mean of its divisors is an integer number (3912417).

Almost surely, 2^101127630 is an apocalyptic number.

101127630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101127630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125197344).

101127630 is an abundant number, since it is smaller than the sum of its proper divisors (149267058).

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

101127630 is a wasteful number, since it uses less digits than its factorization.

101127630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 101127630 is about 10056.2234462048. The cubic root of 101127630 is about 465.8970312874.

Adding to 101127630 its reverse (36721101), we get a palindrome (137848731).

The spelling of 101127630 in words is "one hundred one million, one hundred twenty-seven thousand, six hundred thirty".