100605105600102 has 40 divisors (see below), whose sum is σ = 225702546761736. Its totient is φ = 33494484931488.

The previous prime is 100605105600079. The next prime is 100605105600121. The reversal of 100605105600102 is 201006501506001.

It is a happy number.

100605105600102 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 0 + 51 + 0 + 5 + 600 + 1 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 375331063 + ... + 375599010.

Almost surely, 2^{100605105600102} is an apocalyptic number.

100605105600102 is an abundant number, since it is smaller than the sum of its proper divisors (125097441161634).

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

100605105600102 is an equidigital number, since it uses as much as digits as its factorization.

100605105600102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750930914 (or 750930905 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 100605105600102 in words is "one hundred trillion, six hundred five billion, one hundred five million, six hundred thousand, one hundred two".