106921774872 has 576 divisors, whose sum is σ = 349249380480. Its totient is φ = 30626164800.

The previous prime is 106921774871. The next prime is 106921774889. The reversal of 106921774872 is 278477129601.

106921774872 is a `hidden beast` number, since 1 + 0 + 6 + 92 + 1 + 77 + 487 + 2 = 666.

It is a super-2 number, since 2×106921774872² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106921774871) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2486552883 + ... + 2486552925.

It is an arithmetic number, because the mean of its divisors is an integer number (606335730).

Almost surely, 2^106921774872 is an apocalyptic number.

106921774872 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 106921774872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174624690240).

106921774872 is an abundant number, since it is smaller than the sum of its proper divisors (242327605608).

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

106921774872 is an equidigital number, since it uses as much as digits as its factorization.

106921774872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 106921774872 in words is "one hundred six billion, nine hundred twenty-one million, seven hundred seventy-four thousand, eight hundred seventy-two".