106642251 has 48 divisors (see below), whose sum is σ = 170133600. Its totient is φ = 66624768.

The previous prime is 106642229. The next prime is 106642267. The reversal of 106642251 is 152246601.

106642251 is a `hidden beast` number, since 10 + 6 + 642 + 2 + 5 + 1 = 666.

It is not a de Polignac number, because 106642251 - 2¹¹ = 106640203 is a prime.

It is a super-2 number, since 2×106642251² = 22745139396694002, 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 (106642951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260535 + ... + 260943.

It is an arithmetic number, because the mean of its divisors is an integer number (3544450).

Almost surely, 2^106642251 is an apocalyptic number.

106642251 is a deficient number, since it is larger than the sum of its proper divisors (63491349).

106642251 is an equidigital number, since it uses as much as digits as its factorization.

106642251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106642251 is about 10326.7735038588. The cubic root of 106642251 is about 474.2162528702.

Adding to 106642251 its reverse (152246601), we get a palindrome (258888852).

The spelling of 106642251 in words is "one hundred six million, six hundred forty-two thousand, two hundred fifty-one".