105672101 has 2 divisors, whose sum is σ = 105672102. Its totient is φ = 105672100.

The previous prime is 105672071. The next prime is 105672131. The reversal of 105672101 is 101276501.

It is a balanced prime because it is at equal distance from previous prime (105672071) and next prime (105672131).

It can be written as a sum of positive squares in only one way, i.e., 65044225 + 40627876 = 8065^2 + 6374^2 .

It is a cyclic number.

It is not a de Polignac number, because 105672101 - 2²² = 101477797 is a prime.

It is a super-2 number, since 2×105672101² = 22333185859508402, 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 a weakly prime, because it can be changed into another prime (105672131) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52836050 + 52836051.

It is an arithmetic number, because the mean of its divisors is an integer number (52836051).

Almost surely, 2^105672101 is an apocalyptic number.

It is an amenable number.

105672101 is a deficient number, since it is larger than the sum of its proper divisors (1).

105672101 is an equidigital number, since it uses as much as digits as its factorization.

105672101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 105672101 is about 10279.6936238392. The cubic root of 105672101 is about 472.7738505645.

The spelling of 105672101 in words is "one hundred five million, six hundred seventy-two thousand, one hundred one".