106886300640 has 384 divisors, whose sum is σ = 391733895168. Its totient is φ = 23992657920.

The previous prime is 106886300617. The next prime is 106886300671. The reversal of 106886300640 is 46003688601.

It is a happy number.

It is a super-2 number, since 2×106886300640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 106886300592 and 106886300601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110533437 + ... + 110534403.

It is an arithmetic number, because the mean of its divisors is an integer number (1020140352).

Almost surely, 2^106886300640 is an apocalyptic number.

106886300640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106886300640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195866947584).

106886300640 is an abundant number, since it is smaller than the sum of its proper divisors (284847594528).

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

106886300640 is a wasteful number, since it uses less digits than its factorization.

106886300640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 106886300640 in words is "one hundred six billion, eight hundred eighty-six million, three hundred thousand, six hundred forty".