100629630 has 96 divisors (see below), whose sum is σ = 280519200. Its totient is φ = 24938496.

The previous prime is 100629629. The next prime is 100629631. The reversal of 100629630 is 36926001.

It is a happy number.

100629630 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 29 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (100629629) and next prime (100629631).

It is a junction number, because it is equal to n+sod(n) for n = 100629594 and 100629603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100629631) 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, 135801 + ... + 136539.

It is an arithmetic number, because the mean of its divisors is an integer number (2922075).

Almost surely, 2^100629630 is an apocalyptic number.

100629630 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 100629630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140259600).

100629630 is an abundant number, since it is smaller than the sum of its proper divisors (179889570).

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

100629630 is a wasteful number, since it uses less digits than its factorization.

100629630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 100629630 is about 10031.4321011509. The cubic root of 100629630 is about 465.1310071385.

The spelling of 100629630 in words is "one hundred million, six hundred twenty-nine thousand, six hundred thirty".