100146401345088 has 1344 divisors, whose sum is σ = 363024634871808. Its totient is φ = 26771056035840.

The previous prime is 100146401344999. The next prime is 100146401345131. The reversal of 100146401345088 is 880543104641001.

100146401345088 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 4 + 6 + 4 + 0 + 134 + 508 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13165028581 + ... + 13165036187.

It is an arithmetic number, because the mean of its divisors is an integer number (270107615232).

Almost surely, 2^{100146401345088} is an apocalyptic number.

100146401345088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100146401345088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181512317435904).

100146401345088 is an abundant number, since it is smaller than the sum of its proper divisors (262878233526720).

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

100146401345088 is an equidigital number, since it uses as much as digits as its factorization.

100146401345088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7802 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

Adding to 100146401345088 its reverse (880543104641001), we get a palindrome (980689505986089).

The spelling of 100146401345088 in words is "one hundred trillion, one hundred forty-six billion, four hundred one million, three hundred forty-five thousand, eighty-eight".