100106005061052 has 72 divisors (see below), whose sum is σ = 263365156659696. Its totient is φ = 33248203757568.

The previous prime is 100106005061039. The next prime is 100106005061059. The reversal of 100106005061052 is 250160500601001.

It is a happy number.

100106005061052 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 600 + 5 + 0 + 6 + 1 + 0 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100106005061059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185632773 + ... + 186171260.

Almost surely, 2^{100106005061052} is an apocalyptic number.

100106005061052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100106005061052 is an abundant number, since it is smaller than the sum of its proper divisors (163259151598644).

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

100106005061052 is a wasteful number, since it uses less digits than its factorization.

100106005061052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371804329 (or 371804315 counting only the distinct ones).

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

Adding to 100106005061052 its reverse (250160500601001), we get a palindrome (350266505662053).

The spelling of 100106005061052 in words is "one hundred trillion, one hundred six billion, five million, sixty-one thousand, fifty-two".