106751210517600 has 144 divisors (see below), whose sum is σ = 379063843986240. Its totient is φ = 25879081331200.

The previous prime is 106751210517541. The next prime is 106751210517649. The reversal of 106751210517600 is 6715012157601.

It is a super-2 number, since 2×106751210517600² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2021776830 + ... + 2021829629.

It is an arithmetic number, because the mean of its divisors is an integer number (2632387805460).

Almost surely, 2^{106751210517600} is an apocalyptic number.

106751210517600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106751210517600 is an abundant number, since it is smaller than the sum of its proper divisors (272312633468640).

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

106751210517600 is a wasteful number, since it uses less digits than its factorization.

106751210517600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043606493 (or 4043606480 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 42.

The spelling of 106751210517600 in words is "one hundred six trillion, seven hundred fifty-one billion, two hundred ten million, five hundred seventeen thousand, six hundred".