106072313151 has 64 divisors (see below), whose sum is σ = 169596256256. Its totient is φ = 57694032000.

The previous prime is 106072313117. The next prime is 106072313173. The reversal of 106072313151 is 151313270601.

It is not a de Polignac number, because 106072313151 - 2²⁹ = 105535442239 is a prime.

It is a super-2 number, since 2×106072313151² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106072313051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37203876 + ... + 37206726.

It is an arithmetic number, because the mean of its divisors is an integer number (2649941504).

Almost surely, 2^106072313151 is an apocalyptic number.

106072313151 is a deficient number, since it is larger than the sum of its proper divisors (63523943105).

106072313151 is a wasteful number, since it uses less digits than its factorization.

106072313151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3812.

The product of its (nonzero) digits is 3780, while the sum is 30.

Adding to 106072313151 its reverse (151313270601), we get a palindrome (257385583752).

The spelling of 106072313151 in words is "one hundred six billion, seventy-two million, three hundred thirteen thousand, one hundred fifty-one".