106527213262560 has 96 divisors (see below), whose sum is σ = 335566238192640. Its totient is φ = 28406789872128.

The previous prime is 106527213262451. The next prime is 106527213262567. The reversal of 106527213262560 is 65262312725601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106527213262560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106527213262567) 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, 27908649 + ... + 31495191.

It is an arithmetic number, because the mean of its divisors is an integer number (3495481647840).

Almost surely, 2^{106527213262560} is an apocalyptic number.

106527213262560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106527213262560 is an abundant number, since it is smaller than the sum of its proper divisors (229039024930080).

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

106527213262560 is a wasteful number, since it uses less digits than its factorization.

106527213262560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648440 (or 3648432 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 106527213262560 in words is "one hundred six trillion, five hundred twenty-seven billion, two hundred thirteen million, two hundred sixty-two thousand, five hundred sixty".