106239705840 has 320 divisors, whose sum is σ = 372632400000. Its totient is φ = 27816763392.

The previous prime is 106239705839. The next prime is 106239705841. The reversal of 106239705840 is 48507932601.

106239705840 is a `hidden beast` number, since 1 + 0 + 62 + 3 + 9 + 7 + 0 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106239705839) and next prime (106239705841).

It is a super-2 number, since 2×106239705840² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106239705841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28641906 + ... + 28645614.

It is an arithmetic number, because the mean of its divisors is an integer number (1164476250).

It is a 1-persistent number, because it is pandigital, but 2⋅106239705840 = 212479411680 is not.

Almost surely, 2^106239705840 is an apocalyptic number.

106239705840 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 106239705840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186316200000).

106239705840 is an abundant number, since it is smaller than the sum of its proper divisors (266392694160).

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

106239705840 is a wasteful number, since it uses less digits than its factorization.

106239705840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3969 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 106239705840 in words is "one hundred six billion, two hundred thirty-nine million, seven hundred five thousand, eight hundred forty".