106160400464 has 40 divisors (see below), whose sum is σ = 206655166080. Its totient is φ = 52830272768.

The previous prime is 106160400431. The next prime is 106160400491. The reversal of 106160400464 is 464004061601.

It is a super-2 number, since 2×106160400464² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106160400464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8571044 + ... + 8583420.

It is an arithmetic number, because the mean of its divisors is an integer number (5166379152).

Almost surely, 2^106160400464 is an apocalyptic number.

It is an amenable number.

106160400464 is a deficient number, since it is larger than the sum of its proper divisors (100494765616).

106160400464 is a wasteful number, since it uses less digits than its factorization.

106160400464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14867 (or 14861 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 106160400464 in words is "one hundred six billion, one hundred sixty million, four hundred thousand, four hundred sixty-four".