106742845440 has 1664 divisors, whose sum is σ = 498222489600. Its totient is φ = 21021327360.

The previous prime is 106742845421. The next prime is 106742845441. The reversal of 106742845440 is 44548247601.

106742845440 is a `hidden beast` number, since 1 + 0 + 67 + 42 + 8 + 4 + 544 + 0 = 666.

It is a super-2 number, since 2×106742845440² (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 (106742845441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 979292106 + ... + 979292214.

Almost surely, 2^106742845440 is an apocalyptic number.

106742845440 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 106742845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249111244800).

106742845440 is an abundant number, since it is smaller than the sum of its proper divisors (391479644160).

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

106742845440 is a wasteful number, since it uses less digits than its factorization.

106742845440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 106742845440 in words is "one hundred six billion, seven hundred forty-two million, eight hundred forty-five thousand, four hundred forty".