106626754080 has 960 divisors, whose sum is σ = 477372994560. Its totient is φ = 21768652800.

The previous prime is 106626754079. The next prime is 106626754081. The reversal of 106626754080 is 80457626601.

106626754080 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 26 + 7 + 540 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (106626754079) and next prime (106626754081).

It is a super-2 number, since 2×106626754080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (106626754081) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 58876375 + ... + 58878185.

It is an arithmetic number, because the mean of its divisors is an integer number (497263536).

Almost surely, 2^106626754080 is an apocalyptic number.

106626754080 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 106626754080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238686497280).

106626754080 is an abundant number, since it is smaller than the sum of its proper divisors (370746240480).

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

106626754080 is a wasteful number, since it uses less digits than its factorization.

106626754080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 106626754080 in words is "one hundred six billion, six hundred twenty-six million, seven hundred fifty-four thousand, eighty".