100810142404608 has 1248 divisors, whose sum is σ = 356106562624512. Its totient is φ = 25099606425600.

The previous prime is 100810142404607. The next prime is 100810142404637. The reversal of 100810142404608 is 806404241018001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100810142404607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9948691510 + ... + 9948701642.

Almost surely, 2^{100810142404608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100810142404608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178053281312256).

100810142404608 is an abundant number, since it is smaller than the sum of its proper divisors (255296420219904).

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

100810142404608 is a wasteful number, since it uses less digits than its factorization.

100810142404608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10259 (or 10230 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 100810142404608 in words is "one hundred trillion, eight hundred ten billion, one hundred forty-two million, four hundred four thousand, six hundred eight".