105473024294400 has 2400 divisors, whose sum is σ = 467461140191232. Its totient is φ = 22978938470400.

The previous prime is 105473024294381. The next prime is 105473024294459. The reversal of 105473024294400 is 4492420374501.

105473024294400 is a `hidden beast` number, since 1 + 0 + 54 + 7 + 302 + 4 + 294 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×105473024294400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15074031702 + ... + 15074038698.

Almost surely, 2^{105473024294400} is an apocalyptic number.

105473024294400 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 105473024294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233730570095616).

105473024294400 is an abundant number, since it is smaller than the sum of its proper divisors (361988115896832).

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

105473024294400 is an equidigital number, since it uses as much as digits as its factorization.

105473024294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7142 (or 7112 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 105473024294400 in words is "one hundred five trillion, four hundred seventy-three billion, twenty-four million, two hundred ninety-four thousand, four hundred".