105672501 has 24 divisors (see below), whose sum is σ = 167128416. Its totient is φ = 63807840.

The previous prime is 105672499. The next prime is 105672517. The reversal of 105672501 is 105276501.

It is not a de Polignac number, because 105672501 - 2¹ = 105672499 is a prime.

It is a super-3 number, since 3×105672501³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105672551) 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, 27186 + ... + 30828.

It is an arithmetic number, because the mean of its divisors is an integer number (6963684).

Almost surely, 2^105672501 is an apocalyptic number.

105672501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105672501 is a deficient number, since it is larger than the sum of its proper divisors (61455915).

105672501 is a wasteful number, since it uses less digits than its factorization.

105672501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3953 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 105672501 is about 10279.7130796535. The cubic root of 105672501 is about 472.7744470931.

The spelling of 105672501 in words is "one hundred five million, six hundred seventy-two thousand, five hundred one".