106930419840 has 224 divisors, whose sum is σ = 383272145100. Its totient is φ = 28514654208.

The previous prime is 106930419833. The next prime is 106930419881. The reversal of 106930419840 is 48914039601.

106930419840 is a `hidden beast` number, since 106 + 93 + 0 + 419 + 8 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86421888576 + 20508531264 = 293976^2 + 143208^2 .

It is a super-2 number, since 2×106930419840² (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 27 ways as a sum of consecutive naturals, for example, 351966 + ... + 581154.

Almost surely, 2^106930419840 is an apocalyptic number.

106930419840 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 106930419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191636072550).

106930419840 is an abundant number, since it is smaller than the sum of its proper divisors (276341725260).

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

106930419840 is an frugal number, since it uses more digits than its factorization.

106930419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229226 (or 229199 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 106930419840 in words is "one hundred six billion, nine hundred thirty million, four hundred nineteen thousand, eight hundred forty".