10105523413400 has 192 divisors, whose sum is σ = 24556240800000. Its totient is φ = 3862610680320.

The previous prime is 10105523413397. The next prime is 10105523413451. The reversal of 10105523413400 is 431432550101.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 1253938571 + ... + 1253946629.

It is an arithmetic number, because the mean of its divisors is an integer number (127897087500).

Almost surely, 2^{10105523413400} is an apocalyptic number.

10105523413400 is a gapful number since it is divisible by the number (10) 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 10105523413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12278120400000).

10105523413400 is an abundant number, since it is smaller than the sum of its proper divisors (14450717386600).

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

10105523413400 is a wasteful number, since it uses less digits than its factorization.

10105523413400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10306 (or 10297 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 10105523413400 its reverse (431432550101), we get a palindrome (10536955963501).

The spelling of 10105523413400 in words is "ten trillion, one hundred five billion, five hundred twenty-three million, four hundred thirteen thousand, four hundred".