106838639280 has 320 divisors, whose sum is σ = 390125030400. Its totient is φ = 26781511680.

The previous prime is 106838639233. The next prime is 106838639291. The reversal of 106838639280 is 82936838601.

It is a happy number.

It is a super-2 number, since 2×106838639280² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46229325 + ... + 46231635.

It is an arithmetic number, because the mean of its divisors is an integer number (1219140720).

Almost surely, 2^106838639280 is an apocalyptic number.

106838639280 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 106838639280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195062515200).

106838639280 is an abundant number, since it is smaller than the sum of its proper divisors (283286391120).

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

106838639280 is a wasteful number, since it uses less digits than its factorization.

106838639280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 106838639280 in words is "one hundred six billion, eight hundred thirty-eight million, six hundred thirty-nine thousand, two hundred eighty".