106641249 has 32 divisors (see below), whose sum is σ = 167774208. Its totient is φ = 59400000.

The previous prime is 106641239. The next prime is 106641257. The reversal of 106641249 is 942146601.

It is not a de Polignac number, because 106641249 - 2⁴ = 106641233 is a prime.

It is a super-2 number, since 2×106641249² = 22744711976560002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (106641239) 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, 141624 + ... + 142374.

It is an arithmetic number, because the mean of its divisors is an integer number (5242944).

Almost surely, 2^106641249 is an apocalyptic number.

It is an amenable number.

106641249 is a deficient number, since it is larger than the sum of its proper divisors (61132959).

106641249 is a wasteful number, since it uses less digits than its factorization.

106641249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 106641249 is about 10326.7249890757. The cubic root of 106641249 is about 474.2147676360.

The spelling of 106641249 in words is "one hundred six million, six hundred forty-one thousand, two hundred forty-nine".