105764121350 has 24 divisors (see below), whose sum is σ = 203067115968. Its totient is φ = 40940949600.

The previous prime is 105764121341. The next prime is 105764121371. The reversal of 105764121350 is 53121467501.

It is a happy number.

It is a super-2 number, since 2×105764121350² (a number of 23 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 105764121350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34115909 + ... + 34119008.

It is an arithmetic number, because the mean of its divisors is an integer number (8461129832).

Almost surely, 2^105764121350 is an apocalyptic number.

105764121350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105764121350 is a deficient number, since it is larger than the sum of its proper divisors (97302994618).

105764121350 is a wasteful number, since it uses less digits than its factorization.

105764121350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68234960 (or 68234955 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

Adding to 105764121350 its reverse (53121467501), we get a palindrome (158885588851).

The spelling of 105764121350 in words is "one hundred five billion, seven hundred sixty-four million, one hundred twenty-one thousand, three hundred fifty".