100207416064 has 36 divisors (see below), whose sum is σ = 228598171984. Its totient is φ = 42946034688.

The previous prime is 100207416061. The next prime is 100207416143. The reversal of 100207416064 is 460614702001.

It is not an unprimeable number, because it can be changed into a prime (100207416061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27957867 + ... + 27961450.

Almost surely, 2^100207416064 is an apocalyptic number.

100207416064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100207416064 is an abundant number, since it is smaller than the sum of its proper divisors (128390755920).

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

100207416064 is an frugal number, since it uses more digits than its factorization.

100207416064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55919340 (or 55919326 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 100207416064 in words is "one hundred billion, two hundred seven million, four hundred sixteen thousand, sixty-four".