106270030944 has 768 divisors, whose sum is σ = 406425600000. Its totient is φ = 26194544640.

The previous prime is 106270030931. The next prime is 106270030961. The reversal of 106270030944 is 449030072601.

It is a super-2 number, since 2×106270030944² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106270030899 and 106270030908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 304498482 + ... + 304498830.

It is an arithmetic number, because the mean of its divisors is an integer number (529200000).

Almost surely, 2^106270030944 is an apocalyptic number.

106270030944 is a gapful number since it is divisible by the number (14) 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 106270030944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800000).

106270030944 is an abundant number, since it is smaller than the sum of its proper divisors (300155569056).

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

106270030944 is a wasteful number, since it uses less digits than its factorization.

106270030944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 106270030944 in words is "one hundred six billion, two hundred seventy million, thirty thousand, nine hundred forty-four".