100675716642 has 90 divisors (see below), whose sum is σ = 228828175587. Its totient is φ = 33083375616.

The previous prime is 100675716637. The next prime is 100675716697. The reversal of 100675716642 is 246617576001.

100675716642 is a `hidden beast` number, since 10 + 0 + 6 + 7 + 571 + 6 + 64 + 2 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 97593135201 + 3082581441 = 312399^2 + 55521^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=224361.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 391734178 + ... + 391734434.

Almost surely, 2^100675716642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100675716642

100675716642 is an abundant number, since it is smaller than the sum of its proper divisors (128152458945).

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

100675716642 is an frugal number, since it uses more digits than its factorization.

100675716642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 100675716642 in words is "one hundred billion, six hundred seventy-five million, seven hundred sixteen thousand, six hundred forty-two".