106966752480 has 576 divisors, whose sum is σ = 423890288640. Its totient is φ = 24059179008.

The previous prime is 106966752479. The next prime is 106966752481. The reversal of 106966752480 is 84257669601.

106966752480 is a `hidden beast` number, since 1 + 0 + 6 + 96 + 6 + 75 + 2 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (106966752479) and next prime (106966752481).

It is a super-2 number, since 2×106966752480² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106966752481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 279286369 + ... + 279286751.

It is an arithmetic number, because the mean of its divisors is an integer number (735920640).

Almost surely, 2^106966752480 is an apocalyptic number.

106966752480 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 106966752480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211945144320).

106966752480 is an abundant number, since it is smaller than the sum of its proper divisors (316923536160).

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

106966752480 is a wasteful number, since it uses less digits than its factorization.

106966752480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 106966752480 in words is "one hundred six billion, nine hundred sixty-six million, seven hundred fifty-two thousand, four hundred eighty".