106470973440 has 504 divisors, whose sum is σ = 399885110820. Its totient is φ = 26192904192.

The previous prime is 106470973409. The next prime is 106470973447. The reversal of 106470973440 is 44379074601.

106470973440 is a `hidden beast` number, since 10 + 64 + 70 + 9 + 73 + 440 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2549846016 + 103921127424 = 50496^2 + 322368^2 .

It is a super-2 number, since 2×106470973440² (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 not an unprimeable number, because it can be changed into a prime (106470973447) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62299306 + ... + 62301014.

Almost surely, 2^106470973440 is an apocalyptic number.

106470973440 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 106470973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199942555410).

106470973440 is an abundant number, since it is smaller than the sum of its proper divisors (293414137380).

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

106470973440 is a wasteful number, since it uses less digits than its factorization.

106470973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 106470973440 in words is "one hundred six billion, four hundred seventy million, nine hundred seventy-three thousand, four hundred forty".