100705829007 has 16 divisors (see below), whose sum is σ = 153461329920. Its totient is φ = 57544377312.

The previous prime is 100705828987. The next prime is 100705829017. The reversal of 100705829007 is 700928507001.

It is not a de Polignac number, because 100705829007 - 2¹² = 100705824911 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100705829017) 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, 902869 + ... + 1008257.

It is an arithmetic number, because the mean of its divisors is an integer number (9591333120).

Almost surely, 2^100705829007 is an apocalyptic number.

100705829007 is a deficient number, since it is larger than the sum of its proper divisors (52755500913).

100705829007 is a wasteful number, since it uses less digits than its factorization.

100705829007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150902.

The product of its (nonzero) digits is 35280, while the sum is 39.

The spelling of 100705829007 in words is "one hundred billion, seven hundred five million, eight hundred twenty-nine thousand, seven".