106570405620 has 288 divisors, whose sum is σ = 395490041856. Its totient is φ = 23572944000.

The previous prime is 106570405597. The next prime is 106570405637. The reversal of 106570405620 is 26504075601.

It is a happy number.

106570405620 is a `hidden beast` number, since 1 + 0 + 6 + 57 + 0 + 40 + 562 + 0 = 666.

It is a super-2 number, since 2×106570405620² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1004095 + ... + 1105145.

It is an arithmetic number, because the mean of its divisors is an integer number (1373229312).

Almost surely, 2^106570405620 is an apocalyptic number.

106570405620 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 106570405620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197745020928).

106570405620 is an abundant number, since it is smaller than the sum of its proper divisors (288919636236).

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

106570405620 is a wasteful number, since it uses less digits than its factorization.

106570405620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101113 (or 101099 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 106570405620 in words is "one hundred six billion, five hundred seventy million, four hundred five thousand, six hundred twenty".