105151112001 has 18 divisors (see below), whose sum is σ = 164467126278. Its totient is φ = 64708375680.

The previous prime is 105151111979. The next prime is 105151112023. The reversal of 105151112001 is 100211151501.

It is an interprime number because it is at equal distance from previous prime (105151111979) and next prime (105151112023).

It can be written as a sum of positive squares in 3 ways, for example, as 5310911376 + 99840200625 = 72876^2 + 315975^2 .

It is not a de Polignac number, because 105151112001 - 2⁶ = 105151111937 is a prime.

It is a super-2 number, since 2×105151112001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105151112701) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34564920 + ... + 34567961.

It is an arithmetic number, because the mean of its divisors is an integer number (9137062571).

Almost surely, 2^105151112001 is an apocalyptic number.

It is an amenable number.

105151112001 is a deficient number, since it is larger than the sum of its proper divisors (59316014277).

105151112001 is a wasteful number, since it uses less digits than its factorization.

105151112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69132913 (or 69132897 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 18.

Adding to 105151112001 its reverse (100211151501), we get a palindrome (205362263502).

The spelling of 105151112001 in words is "one hundred five billion, one hundred fifty-one million, one hundred twelve thousand, one".