105400251165 has 128 divisors (see below), whose sum is σ = 190356480000. Its totient is φ = 49367521280.

The previous prime is 105400251139. The next prime is 105400251223. The reversal of 105400251165 is 561152004501.

It is not a de Polignac number, because 105400251165 - 2⁷ = 105400251037 is a prime.

It is a super-2 number, since 2×105400251165² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 207072931 + ... + 207073439.

It is an arithmetic number, because the mean of its divisors is an integer number (1487160000).

Almost surely, 2^105400251165 is an apocalyptic number.

105400251165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105400251165 is a deficient number, since it is larger than the sum of its proper divisors (84956228835).

105400251165 is a wasteful number, since it uses less digits than its factorization.

105400251165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915.

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 105400251165 its reverse (561152004501), we get a palindrome (666552255666).

The spelling of 105400251165 in words is "one hundred five billion, four hundred million, two hundred fifty-one thousand, one hundred sixty-five".