105126552 has 32 divisors (see below), whose sum is σ = 292018800. Its totient is φ = 35042112.

The previous prime is 105126523. The next prime is 105126559. The reversal of 105126552 is 255621501.

105126552 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 2 + 655 + 2 = 666.

It is a super-2 number, since 2×105126552² = 22103183870817408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105126559) 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, 243133 + ... + 243564.

Almost surely, 2^105126552 is an apocalyptic number.

105126552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105126552 is an abundant number, since it is smaller than the sum of its proper divisors (186892248).

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

105126552 is a wasteful number, since it uses less digits than its factorization.

105126552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486712 (or 486702 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 105126552 is about 10253.1240117342. The cubic root of 105126552 is about 471.9588564156.

The spelling of 105126552 in words is "one hundred five million, one hundred twenty-six thousand, five hundred fifty-two".