105165054 has 48 divisors (see below), whose sum is σ = 237352752. Its totient is φ = 34898688.

The previous prime is 105165031. The next prime is 105165059. The reversal of 105165054 is 450561501.

It is a happy number.

105165054 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 650 + 5 + 4 = 666.

It is a super-2 number, since 2×105165054² = 22119377165645832, 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 (105165059) 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, 171252 + ... + 171864.

It is an arithmetic number, because the mean of its divisors is an integer number (4944849).

Almost surely, 2^105165054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105165054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118676376).

105165054 is an abundant number, since it is smaller than the sum of its proper divisors (132187698).

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

105165054 is an equidigital number, since it uses as much as digits as its factorization.

105165054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 971 counting only the distinct ones).

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

The square root of 105165054 is about 10255.0014139443. The cubic root of 105165054 is about 472.0164667960.

The spelling of 105165054 in words is "one hundred five million, one hundred sixty-five thousand, fifty-four".