106930239360 has 768 divisors, whose sum is σ = 427054187520. Its totient is φ = 22215720960.

The previous prime is 106930239349. The next prime is 106930239373. The reversal of 106930239360 is 63932039601.

It is a super-2 number, since 2×106930239360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219569037 + ... + 219569523.

It is an arithmetic number, because the mean of its divisors is an integer number (556060140).

Almost surely, 2^106930239360 is an apocalyptic number.

106930239360 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 106930239360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213527093760).

106930239360 is an abundant number, since it is smaller than the sum of its proper divisors (320123948160).

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

106930239360 is a wasteful number, since it uses less digits than its factorization.

106930239360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 42.

The spelling of 106930239360 in words is "one hundred six billion, nine hundred thirty million, two hundred thirty-nine thousand, three hundred sixty".