105951294240 has 96 divisors (see below), whose sum is σ = 364087192896. Its totient is φ = 25685160960.

The previous prime is 105951294209. The next prime is 105951294247. The reversal of 105951294240 is 42492159501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105951294240² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105951294192 and 105951294201.

It is not an unprimeable number, because it can be changed into a prime (105951294247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10027987 + ... + 10038546.

It is an arithmetic number, because the mean of its divisors is an integer number (3792574926).

Almost surely, 2^105951294240 is an apocalyptic number.

105951294240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105951294240 is an abundant number, since it is smaller than the sum of its proper divisors (258135898656).

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

105951294240 is a wasteful number, since it uses less digits than its factorization.

105951294240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20066562 (or 20066554 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 105951294240 in words is "one hundred five billion, nine hundred fifty-one million, two hundred ninety-four thousand, two hundred forty".