10107630 has 96 divisors (see below), whose sum is σ = 29012256. Its totient is φ = 2426112.

The previous prime is 10107619. The next prime is 10107637. The reversal of 10107630 is 3670101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10107637) 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, 61929 + ... + 62091.

It is an arithmetic number, because the mean of its divisors is an integer number (302211).

Almost surely, 2^10107630 is an apocalyptic number.

10107630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10107630 is the 1590-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10107630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14506128).

10107630 is an abundant number, since it is smaller than the sum of its proper divisors (18904626).

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

10107630 is a wasteful number, since it uses less digits than its factorization.

10107630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 10107630 is about 3179.2499115357. The cubic root of 10107630 is about 216.2136517700.

Adding to 10107630 its reverse (3670101), we get a palindrome (13777731).

The spelling of 10107630 in words is "ten million, one hundred seven thousand, six hundred thirty".