105151005351 has 48 divisors (see below), whose sum is σ = 179103934464. Its totient is φ = 58201431552.

The previous prime is 105151005319. The next prime is 105151005433. The reversal of 105151005351 is 153500151501.

105151005351 is a `hidden beast` number, since 1 + 0 + 51 + 510 + 0 + 53 + 51 = 666.

It is not a de Polignac number, because 105151005351 - 2⁵ = 105151005319 is a prime.

It is a super-2 number, since 2×105151005351² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105151005451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104166 + ... + 470268.

It is an arithmetic number, because the mean of its divisors is an integer number (3731331968).

Almost surely, 2^105151005351 is an apocalyptic number.

105151005351 is a deficient number, since it is larger than the sum of its proper divisors (73952929113).

105151005351 is a wasteful number, since it uses less digits than its factorization.

105151005351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366260 (or 366257 counting only the distinct ones).

The product of its (nonzero) digits is 1875, while the sum is 27.

Adding to 105151005351 its reverse (153500151501), we get a palindrome (258651156852).

The spelling of 105151005351 in words is "one hundred five billion, one hundred fifty-one million, five thousand, three hundred fifty-one".