105472526148 has 72 divisors (see below), whose sum is σ = 307957235040. Its totient is φ = 30081288960.

The previous prime is 105472526083. The next prime is 105472526149. The reversal of 105472526148 is 841625274501.

105472526148 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 7 + 25 + 2 + 614 + 8 = 666.

It is a super-2 number, since 2×105472526148² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105472526149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7826938 + ... + 7840401.

It is an arithmetic number, because the mean of its divisors is an integer number (4277183820).

Almost surely, 2^105472526148 is an apocalyptic number.

105472526148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105472526148 is an abundant number, since it is smaller than the sum of its proper divisors (202484708892).

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

105472526148 is a wasteful number, since it uses less digits than its factorization.

105472526148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15667377 (or 15667372 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 105472526148 in words is "one hundred five billion, four hundred seventy-two million, five hundred twenty-six thousand, one hundred forty-eight".