106351304560 has 80 divisors (see below), whose sum is σ = 248103763200. Its totient is φ = 42396807168.

The previous prime is 106351304519. The next prime is 106351304573. The reversal of 106351304560 is 65403153601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106351304560² (a number of 23 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 15 ways as a sum of consecutive naturals, for example, 34427496 + ... + 34430584.

It is an arithmetic number, because the mean of its divisors is an integer number (3101297040).

Almost surely, 2^106351304560 is an apocalyptic number.

106351304560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106351304560 is an abundant number, since it is smaller than the sum of its proper divisors (141752458640).

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

106351304560 is a wasteful number, since it uses less digits than its factorization.

106351304560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4418 (or 4412 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 106351304560 in words is "one hundred six billion, three hundred fifty-one million, three hundred four thousand, five hundred sixty".