100385000629 has 16 divisors (see below), whose sum is σ = 106745370480. Its totient is φ = 94075632640.

The previous prime is 100385000621. The next prime is 100385000633. The reversal of 100385000629 is 926000583001.

It can be written as a sum of positive squares in 8 ways, for example, as 231739729 + 100153260900 = 15223^2 + 316470^2 .

It is a cyclic number.

It is not a de Polignac number, because 100385000629 - 2³ = 100385000621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100385000594 and 100385000603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100385000621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9785667 + ... + 9795919.

It is an arithmetic number, because the mean of its divisors is an integer number (6671585655).

Almost surely, 2^100385000629 is an apocalyptic number.

It is an amenable number.

100385000629 is a deficient number, since it is larger than the sum of its proper divisors (6360369851).

100385000629 is a wasteful number, since it uses less digits than its factorization.

100385000629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12680.

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 100385000629 in words is "one hundred billion, three hundred eighty-five million, six hundred twenty-nine", and thus it is an aban number.