106522487680 has 768 divisors, whose sum is σ = 330421248000. Its totient is φ = 32606945280.

The previous prime is 106522487657. The next prime is 106522487689. The reversal of 106522487680 is 86784225601.

It is a super-2 number, since 2×106522487680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106522487689) 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, 1348385881 + ... + 1348385959.

It is an arithmetic number, because the mean of its divisors is an integer number (430236000).

Almost surely, 2^106522487680 is an apocalyptic number.

106522487680 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 106522487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165210624000).

106522487680 is an abundant number, since it is smaller than the sum of its proper divisors (223898760320).

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

106522487680 is a wasteful number, since it uses less digits than its factorization.

106522487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The spelling of 106522487680 in words is "one hundred six billion, five hundred twenty-two million, four hundred eighty-seven thousand, six hundred eighty".