106260170640 has 640 divisors, whose sum is σ = 393094840320. Its totient is φ = 23506329600.

The previous prime is 106260170593. The next prime is 106260170651. The reversal of 106260170640 is 46071062601.

It is a super-2 number, since 2×106260170640² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97396495 + ... + 97397585.

It is an arithmetic number, because the mean of its divisors is an integer number (614210688).

Almost surely, 2^106260170640 is an apocalyptic number.

106260170640 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 106260170640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196547420160).

106260170640 is an abundant number, since it is smaller than the sum of its proper divisors (286834669680).

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

106260170640 is a wasteful number, since it uses less digits than its factorization.

106260170640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 106260170640 in words is "one hundred six billion, two hundred sixty million, one hundred seventy thousand, six hundred forty".