100629820 has 24 divisors (see below), whose sum is σ = 215820864. Its totient is φ = 39395136.

The previous prime is 100629811. The next prime is 100629821. The reversal of 100629820 is 28926001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100629821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52587 + ... + 54466.

It is an arithmetic number, because the mean of its divisors is an integer number (8992536).

Almost surely, 2^100629820 is an apocalyptic number.

100629820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100629820 is an abundant number, since it is smaller than the sum of its proper divisors (115191044).

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

100629820 is a wasteful number, since it uses less digits than its factorization.

100629820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107109 (or 107107 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 100629820 is about 10031.4415713795. The cubic root of 100629820 is about 465.1312998781.

The spelling of 100629820 in words is "one hundred million, six hundred twenty-nine thousand, eight hundred twenty".