106212641 has 8 divisors (see below), whose sum is σ = 111902400. Its totient is φ = 100532880.

The previous prime is 106212611. The next prime is 106212653. The reversal of 106212641 is 146212601.

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 106212641 - 2¹⁰ = 106211617 is a prime.

It is a super-2 number, since 2×106212641² = 22562250216389762, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106212611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30836 + ... + 34106.

It is an arithmetic number, because the mean of its divisors is an integer number (13987800).

Almost surely, 2^106212641 is an apocalyptic number.

It is an amenable number.

106212641 is a deficient number, since it is larger than the sum of its proper divisors (5689759).

106212641 is a wasteful number, since it uses less digits than its factorization.

106212641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4999.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 106212641 is about 10305.9517270362. The cubic root of 106212641 is about 473.5785999378.

The spelling of 106212641 in words is "one hundred six million, two hundred twelve thousand, six hundred forty-one".