100355101056 has 192 divisors, whose sum is σ = 347407756800. Its totient is φ = 27163745280.

The previous prime is 100355101019. The next prime is 100355101061. The reversal of 100355101056 is 650101553001.

100355101056 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 551 + 0 + 105 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×100355101056² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174280 + ... + 480711.

It is an arithmetic number, because the mean of its divisors is an integer number (1809415400).

Almost surely, 2^100355101056 is an apocalyptic number.

100355101056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100355101056 is an abundant number, since it is smaller than the sum of its proper divisors (247052655744).

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

100355101056 is a wasteful number, since it uses less digits than its factorization.

100355101056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655037 (or 655022 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

Adding to 100355101056 its reverse (650101553001), we get a palindrome (750456654057).

The spelling of 100355101056 in words is "one hundred billion, three hundred fifty-five million, one hundred one thousand, fifty-six".