106634518397360 has 80 divisors (see below), whose sum is σ = 252018192026592. Its totient is φ = 41951632588800.

The previous prime is 106634518397359. The next prime is 106634518397461. The reversal of 106634518397360 is 63793815436601.

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

It is a super-2 number, since 2×106634518397360² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106634518397293 and 106634518397302.

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, 12082571 + ... + 18954090.

Almost surely, 2^{106634518397360} is an apocalyptic number.

106634518397360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106634518397360 is an abundant number, since it is smaller than the sum of its proper divisors (145383673629232).

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

106634518397360 is a wasteful number, since it uses less digits than its factorization.

106634518397360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31037382 (or 31037376 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 62.

The spelling of 106634518397360 in words is "one hundred six trillion, six hundred thirty-four billion, five hundred eighteen million, three hundred ninety-seven thousand, three hundred sixty".