106421507280 has 240 divisors, whose sum is σ = 390416547456. Its totient is φ = 25764295680.

The previous prime is 106421507267. The next prime is 106421507287. The reversal of 106421507280 is 82705124601.

106421507280 is a `hidden beast` number, since 1 + 0 + 642 + 1 + 5 + 0 + 7 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×106421507280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106421507287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6113469 + ... + 6130851.

Almost surely, 2^106421507280 is an apocalyptic number.

106421507280 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 106421507280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195208273728).

106421507280 is an abundant number, since it is smaller than the sum of its proper divisors (283995040176).

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

106421507280 is a wasteful number, since it uses less digits than its factorization.

106421507280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18186 (or 18177 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 106421507280 in words is "one hundred six billion, four hundred twenty-one million, five hundred seven thousand, two hundred eighty".