106420469760 has 704 divisors, whose sum is σ = 417933471960. Its totient is φ = 25798901760.

The previous prime is 106420469747. The next prime is 106420469777. The reversal of 106420469760 is 67964024601.

106420469760 is a `hidden beast` number, since 106 + 4 + 20 + 469 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×106420469760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 9674588155 + ... + 9674588165.

Almost surely, 2^106420469760 is an apocalyptic number.

106420469760 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 106420469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208966735980).

106420469760 is an abundant number, since it is smaller than the sum of its proper divisors (311513002200).

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

106420469760 is an frugal number, since it uses more digits than its factorization.

106420469760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 106420469760 in words is "one hundred six billion, four hundred twenty million, four hundred sixty-nine thousand, seven hundred sixty".