105342601299 has 64 divisors (see below), whose sum is σ = 161110118400. Its totient is φ = 60760627200.

The previous prime is 105342601253. The next prime is 105342601313. The reversal of 105342601299 is 992106243501.

It is not a de Polignac number, because 105342601299 - 2¹⁶ = 105342535763 is a prime.

It is a super-2 number, since 2×105342601299² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105342601299.

It is not an unprimeable number, because it can be changed into a prime (105342601499) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6882447 + ... + 6897735.

It is an arithmetic number, because the mean of its divisors is an integer number (2517345600).

Almost surely, 2^105342601299 is an apocalyptic number.

105342601299 is a deficient number, since it is larger than the sum of its proper divisors (55767517101).

105342601299 is a wasteful number, since it uses less digits than its factorization.

105342601299 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15516.

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 105342601299 in words is "one hundred five billion, three hundred forty-two million, six hundred one thousand, two hundred ninety-nine".