105207782401 has 4 divisors (see below), whose sum is σ = 105212922304. Its totient is φ = 105202642500.

The previous prime is 105207782363. The next prime is 105207782437. The reversal of 105207782401 is 104287702501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 104287702501 = 43 ⋅2425295407.

It is a cyclic number.

It is not a de Polignac number, because 105207782401 - 2¹⁹ = 105207258113 is a prime.

It is a super-2 number, since 2×105207782401² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105204782401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2539125 + ... + 2580226.

It is an arithmetic number, because the mean of its divisors is an integer number (26303230576).

Almost surely, 2^105207782401 is an apocalyptic number.

It is an amenable number.

105207782401 is a deficient number, since it is larger than the sum of its proper divisors (5139903).

105207782401 is an equidigital number, since it uses as much as digits as its factorization.

105207782401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139902.

The product of its (nonzero) digits is 31360, while the sum is 37.

The spelling of 105207782401 in words is "one hundred five billion, two hundred seven million, seven hundred eighty-two thousand, four hundred one".