100555064064 has 1008 divisors, whose sum is σ = 384335314944. Its totient is φ = 25530163200.

The previous prime is 100555063927. The next prime is 100555064081. The reversal of 100555064064 is 460460555001.

100555064064 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 5 + 5 + 0 + 640 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×100555064064² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 526466209 + ... + 526466399.

Almost surely, 2^100555064064 is an apocalyptic number.

100555064064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100555064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192167657472).

100555064064 is an abundant number, since it is smaller than the sum of its proper divisors (283780250880).

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

100555064064 is an equidigital number, since it uses as much as digits as its factorization.

100555064064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 100555064064 in words is "one hundred billion, five hundred fifty-five million, sixty-four thousand, sixty-four".