106214509440 has 1280 divisors, whose sum is σ = 441894942720. Its totient is φ = 24078974976.

The previous prime is 106214509361. The next prime is 106214509459. The reversal of 106214509440 is 44905412601.

106214509440 is a `hidden beast` number, since 10 + 62 + 145 + 0 + 9 + 440 = 666.

It is a super-2 number, since 2×106214509440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106214509395 and 106214509404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 836334657 + ... + 836334783.

It is an arithmetic number, because the mean of its divisors is an integer number (345230424).

Almost surely, 2^106214509440 is an apocalyptic number.

106214509440 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 106214509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220947471360).

106214509440 is an abundant number, since it is smaller than the sum of its proper divisors (335680433280).

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

106214509440 is a wasteful number, since it uses less digits than its factorization.

106214509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 106214509440 in words is "one hundred six billion, two hundred fourteen million, five hundred nine thousand, four hundred forty".