106589183040 has 140 divisors (see below), whose sum is σ = 379156568076. Its totient is φ = 28423775232.

The previous prime is 106589183021. The next prime is 106589183069. The reversal of 106589183040 is 40381985601.

106589183040 is a `hidden beast` number, since 10 + 6 + 589 + 18 + 3 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49689759744 + 56899423296 = 222912^2 + 238536^2 .

It is a super-2 number, since 2×106589183040² (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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2030199 + ... + 2082038.

Almost surely, 2^106589183040 is an apocalyptic number.

106589183040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106589183040 is an abundant number, since it is smaller than the sum of its proper divisors (272567385036).

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

106589183040 is an equidigital number, since it uses as much as digits as its factorization.

106589183040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4112266 (or 4112247 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 106589183040 in words is "one hundred six billion, five hundred eighty-nine million, one hundred eighty-three thousand, forty".