106345251 has 32 divisors (see below), whose sum is σ = 167512320. Its totient is φ = 66448512.

The previous prime is 106345249. The next prime is 106345273. The reversal of 106345251 is 152543601.

106345251 is a `hidden beast` number, since 1 + 0 + 634 + 5 + 25 + 1 = 666.

It is not a de Polignac number, because 106345251 - 2¹ = 106345249 is a prime.

It is a super-2 number, since 2×106345251² = 22618624820506002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106345651) 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, 203076 + ... + 203598.

It is an arithmetic number, because the mean of its divisors is an integer number (5234760).

Almost surely, 2^106345251 is an apocalyptic number.

106345251 is a deficient number, since it is larger than the sum of its proper divisors (61167069).

106345251 is a wasteful number, since it uses less digits than its factorization.

106345251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 106345251 is about 10312.3833811588. The cubic root of 106345251 is about 473.7756108246.

Adding to 106345251 its reverse (152543601), we get a palindrome (258888852).

The spelling of 106345251 in words is "one hundred six million, three hundred forty-five thousand, two hundred fifty-one".