106406046240 has 192 divisors, whose sum is σ = 361221420672. Its totient is φ = 26173440000.

The previous prime is 106406046239. The next prime is 106406046259. The reversal of 106406046240 is 42640604601.

It is a super-2 number, since 2×106406046240² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9984915 + ... + 9995565.

It is an arithmetic number, because the mean of its divisors is an integer number (1881361566).

Almost surely, 2^106406046240 is an apocalyptic number.

106406046240 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 106406046240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180610710336).

106406046240 is an abundant number, since it is smaller than the sum of its proper divisors (254815374432).

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

106406046240 is a wasteful number, since it uses less digits than its factorization.

106406046240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12283 (or 12275 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 106406046240 in words is "one hundred six billion, four hundred six million, forty-six thousand, two hundred forty".