106010113568 has 12 divisors (see below), whose sum is σ = 208707411150. Its totient is φ = 53005056768.

The previous prime is 106010113529. The next prime is 106010113571. The reversal of 106010113568 is 865311010601.

It can be written as a sum of positive squares in only one way, i.e., 101106192784 + 4903920784 = 317972^2 + 70028^2 .

It is a super-2 number, since 2×106010113568² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 3312816049 = 106010113568 / (1 + 0 + 6 + 0 + 1 + 0 + 1 + 1 + 3 + 5 + 6 + 8).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1656407993 + ... + 1656408056.

Almost surely, 2^106010113568 is an apocalyptic number.

It is an amenable number.

106010113568 is a deficient number, since it is larger than the sum of its proper divisors (102697297582).

106010113568 is an equidigital number, since it uses as much as digits as its factorization.

106010113568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3312816059 (or 3312816051 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The spelling of 106010113568 in words is "one hundred six billion, ten million, one hundred thirteen thousand, five hundred sixty-eight".