106989507072 has 1200 divisors, whose sum is σ = 416564454240. Its totient is φ = 27088846848.

The previous prime is 106989507071. The next prime is 106989507083. The reversal of 106989507072 is 270705989601.

106989507072 is a `hidden beast` number, since 1 + 0 + 69 + 8 + 9 + 507 + 0 + 72 = 666.

It is a super-2 number, since 2×106989507072² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106989507071) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 656377263 + ... + 656377425.

Almost surely, 2^106989507072 is an apocalyptic number.

106989507072 is a gapful number since it is divisible by the number (12) 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 106989507072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208282227120).

106989507072 is an abundant number, since it is smaller than the sum of its proper divisors (309574947168).

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

106989507072 is a wasteful number, since it uses less digits than its factorization.

106989507072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 106989507072 in words is "one hundred six billion, nine hundred eighty-nine million, five hundred seven thousand, seventy-two".