100605001056 has 48 divisors (see below), whose sum is σ = 301815005184. Its totient is φ = 28744285824.

The previous prime is 100605001037. The next prime is 100605001087. The reversal of 100605001056 is 650100506001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×100605001056² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74854240 + ... + 74855583.

It is an arithmetic number, because the mean of its divisors is an integer number (6287812608).

Almost surely, 2^100605001056 is an apocalyptic number.

100605001056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100605001056 is an abundant number, since it is smaller than the sum of its proper divisors (201210004128).

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

100605001056 is a wasteful number, since it uses less digits than its factorization.

100605001056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149709843 (or 149709835 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 100605001056 its reverse (650100506001), we get a palindrome (750705507057).

The spelling of 100605001056 in words is "one hundred billion, six hundred five million, one thousand, fifty-six".