105151656144 has 40 divisors (see below), whose sum is σ = 273020695200. Its totient is φ = 34872627328.

The previous prime is 105151656143. The next prime is 105151656193. The reversal of 105151656144 is 441656151501.

It is a super-2 number, since 2×105151656144² (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 (105151656143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5550594 + ... + 5569505.

It is an arithmetic number, because the mean of its divisors is an integer number (6825517380).

Almost surely, 2^105151656144 is an apocalyptic number.

It is an amenable number.

105151656144 is an abundant number, since it is smaller than the sum of its proper divisors (167869039056).

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

105151656144 is a wasteful number, since it uses less digits than its factorization.

105151656144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11120307 (or 11120301 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The spelling of 105151656144 in words is "one hundred five billion, one hundred fifty-one million, six hundred fifty-six thousand, one hundred forty-four".