106551065110656 has 64 divisors (see below), whose sum is σ = 283028187928320. Its totient is φ = 35516780608512.

The previous prime is 106551065110621. The next prime is 106551065110663. The reversal of 106551065110656 is 656011560155601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106551065110656² (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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60998481 + ... + 62720943.

It is an arithmetic number, because the mean of its divisors is an integer number (4422315436380).

Almost surely, 2^{106551065110656} is an apocalyptic number.

106551065110656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106551065110656 is an abundant number, since it is smaller than the sum of its proper divisors (176477122817664).

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

106551065110656 is a wasteful number, since it uses less digits than its factorization.

106551065110656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883573 (or 1883561 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 48.

The spelling of 106551065110656 in words is "one hundred six trillion, five hundred fifty-one billion, sixty-five million, one hundred ten thousand, six hundred fifty-six".