105772651505400 has 192 divisors, whose sum is σ = 357974688153600. Its totient is φ = 25622441856000.

The previous prime is 105772651505383. The next prime is 105772651505407. The reversal of 105772651505400 is 4505156277501.

It is a super-2 number, since 2×105772651505400² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105772651505400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105772651505407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2652681 + ... + 14784519.

It is an arithmetic number, because the mean of its divisors is an integer number (1864451500800).

Almost surely, 2^{105772651505400} is an apocalyptic number.

105772651505400 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 105772651505400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178987344076800).

105772651505400 is an abundant number, since it is smaller than the sum of its proper divisors (252202036648200).

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

105772651505400 is a wasteful number, since it uses less digits than its factorization.

105772651505400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12133190 (or 12133181 counting only the distinct ones).

The product of its (nonzero) digits is 1470000, while the sum is 48.

The spelling of 105772651505400 in words is "one hundred five trillion, seven hundred seventy-two billion, six hundred fifty-one million, five hundred five thousand, four hundred".