105051933500400 has 720 divisors, whose sum is σ = 396493615165440. Its totient is φ = 25659468748800.

The previous prime is 105051933500389. The next prime is 105051933500407. The reversal of 105051933500400 is 4005339150501.

It is a happy number.

105051933500400 is a `hidden beast` number, since 1 + 0 + 50 + 519 + 3 + 3 + 50 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×105051933500400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105051933500407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2338778742 + ... + 2338823658.

Almost surely, 2^{105051933500400} is an apocalyptic number.

105051933500400 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 105051933500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198246807582720).

105051933500400 is an abundant number, since it is smaller than the sum of its proper divisors (291441681665040).

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

105051933500400 is a wasteful number, since it uses less digits than its factorization.

105051933500400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46094 (or 46080 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 105051933500400 in words is "one hundred five trillion, fifty-one billion, nine hundred thirty-three million, five hundred thousand, four hundred".