100510009984964 has 12 divisors (see below), whose sum is σ = 175979206752300. Its totient is φ = 50230236627168.

The previous prime is 100510009984961. The next prime is 100510009984991. The reversal of 100510009984964 is 469489900015001.

It can be written as a sum of positive squares in 2 ways, for example, as 86352414760000 + 14157595224964 = 9292600^2 + 3762658^2 .

It is not an unprimeable number, because it can be changed into a prime (100510009984961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6192082199 + ... + 6192098430.

It is an arithmetic number, because the mean of its divisors is an integer number (14664933896025).

Almost surely, 2^{100510009984964} is an apocalyptic number.

It is an amenable number.

100510009984964 is a deficient number, since it is larger than the sum of its proper divisors (75469196767336).

100510009984964 is a wasteful number, since it uses less digits than its factorization.

100510009984964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12384182662 (or 12384182660 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 56.

Adding to 100510009984964 its reverse (469489900015001), we get a palindrome (569999909999965).

The spelling of 100510009984964 in words is "one hundred trillion, five hundred ten billion, nine million, nine hundred eighty-four thousand, nine hundred sixty-four".