107135417189376 has 297 divisors, whose sum is σ = 312022181805789. Its totient is φ = 35406089699328.

The previous prime is 107135417189357. The next prime is 107135417189389. The reversal of 107135417189376 is 673981714531701.

It is a happy number.

The square root of 107135417189376 is 10350624.

It is a perfect power (a square), and thus also a powerful number.

107135417189376 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 3 + 5 + 417 + 189 + 37 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62931854361600 + 44203562827776 = 7932960^2 + 6648576^2 .

It is a super-2 number, since 2×107135417189376² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 136131406455 + ... + 136131407241.

Almost surely, 2^{107135417189376} is an apocalyptic number.

107135417189376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107135417189376 is the 10350624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107135417189376

107135417189376 is an abundant number, since it is smaller than the sum of its proper divisors (204886764616413).

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

107135417189376 is an frugal number, since it uses more digits than its factorization.

107135417189376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 107135417189376 in words is "one hundred seven trillion, one hundred thirty-five billion, four hundred seventeen million, one hundred eighty-nine thousand, three hundred seventy-six".