105242023452000 has 96 divisors (see below), whose sum is σ = 344772868868064. Its totient is φ = 28064539584000.

The previous prime is 105242023451989. The next prime is 105242023452037. The reversal of 105242023452000 is 254320242501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105242023452000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4385072311 + ... + 4385096310.

It is an arithmetic number, because the mean of its divisors is an integer number (3591384050709).

Almost surely, 2^{105242023452000} is an apocalyptic number.

105242023452000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105242023452000 is an abundant number, since it is smaller than the sum of its proper divisors (239530845416064).

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

105242023452000 is an equidigital number, since it uses as much as digits as its factorization.

105242023452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8770168649 (or 8770168631 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 105242023452000 its reverse (254320242501), we get a palindrome (105496343694501).

The spelling of 105242023452000 in words is "one hundred five trillion, two hundred forty-two billion, twenty-three million, four hundred fifty-two thousand".