106293012480 has 384 divisors, whose sum is σ = 381475785600. Its totient is φ = 28072083456.

The previous prime is 106293012467. The next prime is 106293012487. The reversal of 106293012480 is 84210392601.

106293012480 is a `hidden beast` number, since 1 + 0 + 629 + 3 + 0 + 1 + 24 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×106293012480² (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 not an unprimeable number, because it can be changed into a prime (106293012487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29581564 + ... + 29585156.

It is an arithmetic number, because the mean of its divisors is an integer number (993426525).

Almost surely, 2^106293012480 is an apocalyptic number.

106293012480 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 106293012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190737892800).

106293012480 is an abundant number, since it is smaller than the sum of its proper divisors (275182773120).

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

106293012480 is a wasteful number, since it uses less digits than its factorization.

106293012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 106293012480 in words is "one hundred six billion, two hundred ninety-three million, twelve thousand, four hundred eighty".