106955510217507 has 160 divisors (see below), whose sum is σ = 192886746624000. Its totient is φ = 58967835869376.

The previous prime is 106955510217427. The next prime is 106955510217529. The reversal of 106955510217507 is 705712015559601.

106955510217507 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 55 + 510 + 2 + 1 + 75 + 0 + 7 = 666.

It is not a de Polignac number, because 106955510217507 - 2¹⁸ = 106955509955363 is a prime.

It is a super-2 number, since 2×106955510217507² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106955510217107) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1146474418 + ... + 1146567704.

It is an arithmetic number, because the mean of its divisors is an integer number (1205542166400).

Almost surely, 2^{106955510217507} is an apocalyptic number.

106955510217507 is a deficient number, since it is larger than the sum of its proper divisors (85931236406493).

106955510217507 is an equidigital number, since it uses as much as digits as its factorization.

106955510217507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94772 (or 94749 counting only the distinct ones).

The product of its (nonzero) digits is 3307500, while the sum is 54.

The spelling of 106955510217507 in words is "one hundred six trillion, nine hundred fifty-five billion, five hundred ten million, two hundred seventeen thousand, five hundred seven".