106789397552 has 80 divisors (see below), whose sum is σ = 219082406400. Its totient is φ = 50286147840.

The previous prime is 106789397537. The next prime is 106789397567. The reversal of 106789397552 is 255793987601.

It is an interprime number because it is at equal distance from previous prime (106789397537) and next prime (106789397567).

It is a super-2 number, since 2×106789397552² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46692953 + ... + 46695239.

It is an arithmetic number, because the mean of its divisors is an integer number (2738530080).

Almost surely, 2^106789397552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106789397552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109541203200).

106789397552 is an abundant number, since it is smaller than the sum of its proper divisors (112293008848).

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

106789397552 is a wasteful number, since it uses less digits than its factorization.

106789397552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 62.

The spelling of 106789397552 in words is "one hundred six billion, seven hundred eighty-nine million, three hundred ninety-seven thousand, five hundred fifty-two".