105054957 has 48 divisors (see below), whose sum is σ = 179532288. Its totient is φ = 57957120.

The previous prime is 105054947. The next prime is 105054973. The reversal of 105054957 is 759450501.

105054957 is a `hidden beast` number, since 10 + 50 + 549 + 57 = 666.

It is not a de Polignac number, because 105054957 - 2¹⁰ = 105053933 is a prime.

It is a super-2 number, since 2×105054957² = 22073087980543698, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105054947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243532 + ... + 243962.

It is an arithmetic number, because the mean of its divisors is an integer number (3740256).

Almost surely, 2^105054957 is an apocalyptic number.

It is an amenable number.

105054957 is a deficient number, since it is larger than the sum of its proper divisors (74477331).

105054957 is a wasteful number, since it uses less digits than its factorization.

105054957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 105054957 is about 10249.6320421760. The cubic root of 105054957 is about 471.8516917101.

The spelling of 105054957 in words is "one hundred five million, fifty-four thousand, nine hundred fifty-seven".