105294155742 has 128 divisors (see below), whose sum is σ = 241054894080. Its totient is φ = 34052659200.

The previous prime is 105294155731. The next prime is 105294155777. The reversal of 105294155742 is 247551492501.

105294155742 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 94 + 1 + 557 + 4 + 2 = 666.

It is a super-2 number, since 2×105294155742² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 262578742 + ... + 262579142.

It is an arithmetic number, because the mean of its divisors is an integer number (1883241360).

Almost surely, 2^105294155742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105294155742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120527447040).

105294155742 is an abundant number, since it is smaller than the sum of its proper divisors (135760738338).

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

105294155742 is a wasteful number, since it uses less digits than its factorization.

105294155742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 105294155742 in words is "one hundred five billion, two hundred ninety-four million, one hundred fifty-five thousand, seven hundred forty-two".