105951294192 has 20 divisors (see below), whose sum is σ = 273707510120. Its totient is φ = 35317098048.

The previous prime is 105951294181. The next prime is 105951294209. The reversal of 105951294192 is 291492159501.

It is a happy number.

It is a super-2 number, since 2×105951294192² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 2207318629 = 105951294192 / (1 + 0 + 5 + 9 + 5 + 1 + 2 + 9 + 4 + 1 + 9 + 2).

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 3 ways as a sum of consecutive naturals, for example, 1103659267 + ... + 1103659362.

It is an arithmetic number, because the mean of its divisors is an integer number (13685375506).

Almost surely, 2^105951294192 is an apocalyptic number.

105951294192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105951294192 is an abundant number, since it is smaller than the sum of its proper divisors (167756215928).

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

105951294192 is a wasteful number, since it uses less digits than its factorization.

105951294192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207318640 (or 2207318634 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 48.

The spelling of 105951294192 in words is "one hundred five billion, nine hundred fifty-one million, two hundred ninety-four thousand, one hundred ninety-two".