106714875101505 has 32 divisors (see below), whose sum is σ = 192274543300608. Its totient is φ = 50071495646400.

The previous prime is 106714875101489. The next prime is 106714875101507. The reversal of 106714875101505 is 505101578417601.

It is a happy number.

It is not a de Polignac number, because 106714875101505 - 2⁴ = 106714875101489 is a prime.

It is a super-2 number, since 2×106714875101505² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106714875101507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10431556479 + ... + 10431566708.

It is an arithmetic number, because the mean of its divisors is an integer number (6008579478144).

Almost surely, 2^{106714875101505} is an apocalyptic number.

106714875101505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106714875101505 is a deficient number, since it is larger than the sum of its proper divisors (85559668199103).

106714875101505 is a wasteful number, since it uses less digits than its factorization.

106714875101505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20863123237.

The product of its (nonzero) digits is 1176000, while the sum is 51.

It can be divided in two parts, 1067148 and 75101505, that added together give a triangular number (76168653 = T₁₂₃₄₂).

The spelling of 106714875101505 in words is "one hundred six trillion, seven hundred fourteen billion, eight hundred seventy-five million, one hundred one thousand, five hundred five".