105153104 has 40 divisors (see below), whose sum is σ = 236800320. Its totient is φ = 44299008.

The previous prime is 105153091. The next prime is 105153107. The reversal of 105153104 is 401351501.

It is a super-2 number, since 2×105153104² = 22114350561669632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105153107) 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, 1349 + ... + 14564.

It is an arithmetic number, because the mean of its divisors is an integer number (5920008).

Almost surely, 2^105153104 is an apocalyptic number.

105153104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105153104 is an abundant number, since it is smaller than the sum of its proper divisors (131647216).

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

105153104 is a wasteful number, since it uses less digits than its factorization.

105153104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15987 (or 15981 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 105153104 is about 10254.4187548588. The cubic root of 105153104 is about 471.9985875664.

The spelling of 105153104 in words is "one hundred five million, one hundred fifty-three thousand, one hundred four".