100610500001052 has 96 divisors (see below), whose sum is σ = 243040718269440. Its totient is φ = 32371540830720.

The previous prime is 100610500001051. The next prime is 100610500001059. The reversal of 100610500001052 is 250100005016001.

100610500001052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100610500001052² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100610500001051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54480649 + ... + 56297087.

It is an arithmetic number, because the mean of its divisors is an integer number (2531674148640).

Almost surely, 2^{100610500001052} is an apocalyptic number.

100610500001052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100610500001052 is an abundant number, since it is smaller than the sum of its proper divisors (142430218268388).

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

100610500001052 is a wasteful number, since it uses less digits than its factorization.

100610500001052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817683 (or 1817681 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 100610500001052 its reverse (250100005016001), we get a palindrome (350710505017053).

The spelling of 100610500001052 in words is "one hundred trillion, six hundred ten billion, five hundred million, one thousand, fifty-two".