106885151511431 has 16 divisors (see below), whose sum is σ = 112243461245184. Its totient is φ = 101586403062144.

The previous prime is 106885151511371. The next prime is 106885151511449. The reversal of 106885151511431 is 134115151588601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106885151511431 is a prime.

It is a super-2 number, since 2×106885151511431² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106885151511431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106885151511451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12246800 + ... + 19072346.

It is an arithmetic number, because the mean of its divisors is an integer number (7015216327824).

Almost surely, 2^{106885151511431} is an apocalyptic number.

106885151511431 is a deficient number, since it is larger than the sum of its proper divisors (5358309733753).

106885151511431 is a wasteful number, since it uses less digits than its factorization.

106885151511431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6829910.

The product of its (nonzero) digits is 576000, while the sum is 50.

The spelling of 106885151511431 in words is "one hundred six trillion, eight hundred eighty-five billion, one hundred fifty-one million, five hundred eleven thousand, four hundred thirty-one".