105351059370 has 32 divisors (see below), whose sum is σ = 260998755840. Its totient is φ = 27187369920.

The previous prime is 105351059351. The next prime is 105351059453. The reversal of 105351059370 is 73950153501.

105351059370 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105351059370² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 56639425 + ... + 56641284.

It is an arithmetic number, because the mean of its divisors is an integer number (8156211120).

Almost surely, 2^105351059370 is an apocalyptic number.

105351059370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105351059370 is an abundant number, since it is smaller than the sum of its proper divisors (155647696470).

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

105351059370 is a wasteful number, since it uses less digits than its factorization.

105351059370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113280750.

The product of its (nonzero) digits is 70875, while the sum is 39.

The spelling of 105351059370 in words is "one hundred five billion, three hundred fifty-one million, fifty-nine thousand, three hundred seventy".