105475667751345 has 16 divisors (see below), whose sum is σ = 168761385925632. Its totient is φ = 56253583626240.

The previous prime is 105475667751343. The next prime is 105475667751403. The reversal of 105475667751345 is 543157766574501.

It is a happy number.

It is not a de Polignac number, because 105475667751345 - 2¹ = 105475667751343 is a prime.

It is a super-2 number, since 2×105475667751345² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105475667751343) 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, 1983600 + ... + 14658990.

It is an arithmetic number, because the mean of its divisors is an integer number (10547586620352).

Almost surely, 2^{105475667751345} is an apocalyptic number.

105475667751345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105475667751345 is a deficient number, since it is larger than the sum of its proper divisors (63285718174287).

105475667751345 is a wasteful number, since it uses less digits than its factorization.

105475667751345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13230152.

The product of its (nonzero) digits is 370440000, while the sum is 66.

The spelling of 105475667751345 in words is "one hundred five trillion, four hundred seventy-five billion, six hundred sixty-seven million, seven hundred fifty-one thousand, three hundred forty-five".