106354415251 has 8 divisors (see below), whose sum is σ = 123012336384. Its totient is φ = 90062602440.

The previous prime is 106354415221. The next prime is 106354415263. The reversal of 106354415251 is 152514453601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106354415251 - 2⁹ = 106354414739 is a prime.

It is a super-2 number, since 2×106354415251² (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 106354415251.

It is not an unprimeable number, because it can be changed into a prime (106354415221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91526455 + ... + 91527616.

It is an arithmetic number, because the mean of its divisors is an integer number (15376542048).

Almost surely, 2^106354415251 is an apocalyptic number.

106354415251 is a deficient number, since it is larger than the sum of its proper divisors (16657921133).

106354415251 is an equidigital number, since it uses as much as digits as its factorization.

106354415251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183054161.

The product of its (nonzero) digits is 72000, while the sum is 37.

Adding to 106354415251 its reverse (152514453601), we get a palindrome (258868868852).

The spelling of 106354415251 in words is "one hundred six billion, three hundred fifty-four million, four hundred fifteen thousand, two hundred fifty-one".