106641511215132 has 24 divisors (see below), whose sum is σ = 248832670415616. Its totient is φ = 35546816465008.

The previous prime is 106641511215121. The next prime is 106641511215137. The reversal of 106641511215132 is 231512115146601.

It is a super-2 number, since 2×106641511215132² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106641511215137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42985668 + ... + 45398795.

It is an arithmetic number, because the mean of its divisors is an integer number (10368027933984).

Almost surely, 2^{106641511215132} is an apocalyptic number.

106641511215132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106641511215132 is an abundant number, since it is smaller than the sum of its proper divisors (142191159200484).

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

106641511215132 is a wasteful number, since it uses less digits than its factorization.

106641511215132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88485017 (or 88485015 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 106641511215132 in words is "one hundred six trillion, six hundred forty-one billion, five hundred eleven million, two hundred fifteen thousand, one hundred thirty-two".