106011642016 has 48 divisors (see below), whose sum is σ = 238967366400. Its totient is φ = 45349528320.

The previous prime is 106011642013. The next prime is 106011642019. The reversal of 106011642016 is 610246110601.

It is an interprime number because it is at equal distance from previous prime (106011642013) and next prime (106011642019).

It is a super-2 number, since 2×106011642016² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (106011642013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316216 + ... + 558583.

It is an arithmetic number, because the mean of its divisors is an integer number (4978486800).

Almost surely, 2^106011642016 is an apocalyptic number.

106011642016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106011642016 is an abundant number, since it is smaller than the sum of its proper divisors (132955724384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106011642016 is an equidigital number, since it uses as much as digits as its factorization.

106011642016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875357 (or 875349 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 106011642016 its reverse (610246110601), we get a palindrome (716257752617).

The spelling of 106011642016 in words is "one hundred six billion, eleven million, six hundred forty-two thousand, sixteen".