105672541 has 8 divisors (see below), whose sum is σ = 114907520. Its totient is φ = 96595632.

The previous prime is 105672517. The next prime is 105672551. The reversal of 105672541 is 145276501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105672541 is a prime.

It is a super-2 number, since 2×105672541² = 22333371842793362, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 38121 + ... + 40798.

It is an arithmetic number, because the mean of its divisors is an integer number (14363440).

Almost surely, 2^105672541 is an apocalyptic number.

It is an amenable number.

105672541 is a deficient number, since it is larger than the sum of its proper divisors (9234979).

105672541 is a wasteful number, since it uses less digits than its factorization.

105672541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79035.

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 105672541 is about 10279.7150252329. The cubic root of 105672541 is about 472.7745067459.

The spelling of 105672541 in words is "one hundred five million, six hundred seventy-two thousand, five hundred forty-one".