106491097152 has 504 divisors, whose sum is σ = 346048754688. Its totient is φ = 31273482240.

The previous prime is 106491097133. The next prime is 106491097189. The reversal of 106491097152 is 251790194601.

106491097152 is a `hidden beast` number, since 1 + 0 + 6 + 491 + 0 + 9 + 7 + 152 = 666.

It is a super-2 number, since 2×106491097152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106491097098 and 106491097107.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 469123663 + ... + 469123889.

It is an arithmetic number, because the mean of its divisors is an integer number (686604672).

Almost surely, 2^106491097152 is an apocalyptic number.

106491097152 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 106491097152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173024377344).

106491097152 is an abundant number, since it is smaller than the sum of its proper divisors (239557657536).

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

106491097152 is a wasteful number, since it uses less digits than its factorization.

106491097152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 106491097152 in words is "one hundred six billion, four hundred ninety-one million, ninety-seven thousand, one hundred fifty-two".