106151560144 has 80 divisors (see below), whose sum is σ = 235849368960. Its totient is φ = 45339102720.

The previous prime is 106151560139. The next prime is 106151560147. The reversal of 106151560144 is 441065151601.

It is a super-2 number, since 2×106151560144² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106151560147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59334802 + ... + 59336590.

It is an arithmetic number, because the mean of its divisors is an integer number (2948117112).

Almost surely, 2^106151560144 is an apocalyptic number.

106151560144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106151560144 is an abundant number, since it is smaller than the sum of its proper divisors (129697808816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106151560144 is a wasteful number, since it uses less digits than its factorization.

106151560144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 106151560144 in words is "one hundred six billion, one hundred fifty-one million, five hundred sixty thousand, one hundred forty-four".