105761350200 has 192 divisors, whose sum is σ = 357844417920. Its totient is φ = 25626304000.

The previous prime is 105761350141. The next prime is 105761350213. The reversal of 105761350200 is 2053167501.

It is a super-2 number, since 2×105761350200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25850155 + ... + 25854245.

It is an arithmetic number, because the mean of its divisors is an integer number (1863773010).

Almost surely, 2^105761350200 is an apocalyptic number.

105761350200 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 105761350200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178922208960).

105761350200 is an abundant number, since it is smaller than the sum of its proper divisors (252083067720).

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

105761350200 is a wasteful number, since it uses less digits than its factorization.

105761350200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8038 (or 8029 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The spelling of 105761350200 in words is "one hundred five billion, seven hundred sixty-one million, three hundred fifty thousand, two hundred".