105527385399672 has 48 divisors (see below), whose sum is σ = 285825893633280. Its totient is φ = 35173018742400.

The previous prime is 105527385399659. The next prime is 105527385399677. The reversal of 105527385399672 is 276993583725501.

105527385399672 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 27 + 3 + 8 + 539 + 9 + 67 + 2 = 666.

It is a super-2 number, since 2×105527385399672² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 105527385399672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105527385399677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56922829 + ... + 58747452.

It is an arithmetic number, because the mean of its divisors is an integer number (5954706117360).

Almost surely, 2^{105527385399672} is an apocalyptic number.

105527385399672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105527385399672 is an abundant number, since it is smaller than the sum of its proper divisors (180298508233608).

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

105527385399672 is a wasteful number, since it uses less digits than its factorization.

105527385399672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115682964 (or 115682957 counting only the distinct ones).

The product of its (nonzero) digits is 857304000, while the sum is 72.

The spelling of 105527385399672 in words is "one hundred five trillion, five hundred twenty-seven billion, three hundred eighty-five million, three hundred ninety-nine thousand, six hundred seventy-two".