10105623141600 has 288 divisors, whose sum is σ = 39227394286080. Its totient is φ = 2209428080640.

The previous prime is 10105623141599. The next prime is 10105623141611. The reversal of 10105623141600 is 614132650101.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 12690235 + ... + 13463034.

It is an arithmetic number, because the mean of its divisors is an integer number (136206230160).

Almost surely, 2^{10105623141600} is an apocalyptic number.

10105623141600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10105623141600 is an abundant number, since it is smaller than the sum of its proper divisors (29121771144480).

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

10105623141600 is a wasteful number, since it uses less digits than its factorization.

10105623141600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26153322 (or 26153309 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 10105623141600 its reverse (614132650101), we get a palindrome (10719755791701).

The spelling of 10105623141600 in words is "ten trillion, one hundred five billion, six hundred twenty-three million, one hundred forty-one thousand, six hundred".