105248149201 has 16 divisors (see below), whose sum is σ = 121468725504. Its totient is φ = 90416551104.

The previous prime is 105248149199. The next prime is 105248149219. The reversal of 105248149201 is 102941842501.

It is a cyclic number.

It is not a de Polignac number, because 105248149201 - 2¹ = 105248149199 is a prime.

It is a super-2 number, since 2×105248149201² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105248149231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4745701 + ... + 4767826.

It is an arithmetic number, because the mean of its divisors is an integer number (7591795344).

Almost surely, 2^105248149201 is an apocalyptic number.

It is an amenable number.

105248149201 is a deficient number, since it is larger than the sum of its proper divisors (16220576303).

105248149201 is a wasteful number, since it uses less digits than its factorization.

105248149201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9513600.

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 105248149201 in words is "one hundred five billion, two hundred forty-eight million, one hundred forty-nine thousand, two hundred one".