105402110510400 has 1008 divisors, whose sum is σ = 382243397023488. Its totient is φ = 25408556236800.

The previous prime is 105402110510399. The next prime is 105402110510413. The reversal of 105402110510400 is 4015011204501.

It is a super-2 number, since 2×105402110510400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 122989626772 + ... + 122989627628.

Almost surely, 2^{105402110510400} is an apocalyptic number.

105402110510400 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 105402110510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191121698511744).

105402110510400 is an abundant number, since it is smaller than the sum of its proper divisors (276841286513088).

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

105402110510400 is a wasteful number, since it uses less digits than its factorization.

105402110510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 105402110510400 its reverse (4015011204501), we get a palindrome (109417121714901).

The spelling of 105402110510400 in words is "one hundred five trillion, four hundred two billion, one hundred ten million, five hundred ten thousand, four hundred".