106146640704 has 448 divisors, whose sum is σ = 325324955648. Its totient is φ = 30307737600.

The previous prime is 106146640703. The next prime is 106146640711. The reversal of 106146640704 is 407046641601.

It is a super-2 number, since 2×106146640704² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106146640703) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 202956987 + ... + 202957509.

It is an arithmetic number, because the mean of its divisors is an integer number (726171776).

Almost surely, 2^106146640704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106146640704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162662477824).

106146640704 is an abundant number, since it is smaller than the sum of its proper divisors (219178314944).

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

106146640704 is a wasteful number, since it uses less digits than its factorization.

106146640704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 106146640704 in words is "one hundred six billion, one hundred forty-six million, six hundred forty thousand, seven hundred four".