106792383390 has 512 divisors, whose sum is σ = 338682249216. Its totient is φ = 20914882560.

The previous prime is 106792383331. The next prime is 106792383407. The reversal of 106792383390 is 93383297601.

It is a super-2 number, since 2×106792383390² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 385531932 + ... + 385532208.

It is an arithmetic number, because the mean of its divisors is an integer number (661488768).

Almost surely, 2^106792383390 is an apocalyptic number.

106792383390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106792383390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169341124608).

106792383390 is an abundant number, since it is smaller than the sum of its proper divisors (231889865826).

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

106792383390 is a wasteful number, since it uses less digits than its factorization.

106792383390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472.

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 106792383390 in words is "one hundred six billion, seven hundred ninety-two million, three hundred eighty-three thousand, three hundred ninety".