106365934080 has 800 divisors, whose sum is σ = 439582150656. Its totient is φ = 24078974976.

The previous prime is 106365934049. The next prime is 106365934111. The reversal of 106365934080 is 80439563601.

106365934080 is a `hidden beast` number, since 1 + 0 + 636 + 5 + 9 + 3 + 4 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106365934049) and next prime (106365934111).

It is a super-2 number, since 2×106365934080² (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 79 ways as a sum of consecutive naturals, for example, 184342752 + ... + 184343328.

Almost surely, 2^106365934080 is an apocalyptic number.

106365934080 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 106365934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219791075328).

106365934080 is an abundant number, since it is smaller than the sum of its proper divisors (333216216576).

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

106365934080 is an equidigital number, since it uses as much as digits as its factorization.

106365934080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 106365934080 in words is "one hundred six billion, three hundred sixty-five million, nine hundred thirty-four thousand, eighty".