106151564 has 12 divisors (see below), whose sum is σ = 191757888. Its totient is φ = 51363600.

The previous prime is 106151543. The next prime is 106151567. The reversal of 106151564 is 465151601.

It is a super-3 number, since 3×106151564³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106151567) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 427907 + ... + 428154.

It is an arithmetic number, because the mean of its divisors is an integer number (15979824).

Almost surely, 2^106151564 is an apocalyptic number.

It is an amenable number.

106151564 is a deficient number, since it is larger than the sum of its proper divisors (85606324).

106151564 is a wasteful number, since it uses less digits than its factorization.

106151564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856096 (or 856094 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 106151564 is about 10302.9881102523. The cubic root of 106151564 is about 473.4878062684.

It can be divided in two parts, 1061 and 51564, that added together give a palindrome (52625).

The spelling of 106151564 in words is "one hundred six million, one hundred fifty-one thousand, five hundred sixty-four".