105021414399 has 32 divisors (see below), whose sum is σ = 155818137600. Its totient is φ = 62384018400.

The previous prime is 105021414383. The next prime is 105021414401. The reversal of 105021414399 is 993414120501.

It is not a de Polignac number, because 105021414399 - 2⁴ = 105021414383 is a prime.

It is a super-2 number, since 2×105021414399² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105021414599) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320644 + ... + 559334.

It is an arithmetic number, because the mean of its divisors is an integer number (4869316800).

Almost surely, 2^105021414399 is an apocalyptic number.

105021414399 is a deficient number, since it is larger than the sum of its proper divisors (50796723201).

105021414399 is a wasteful number, since it uses less digits than its factorization.

105021414399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238971.

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 105021414399 in words is "one hundred five billion, twenty-one million, four hundred fourteen thousand, three hundred ninety-nine".