106273458480 has 640 divisors, whose sum is σ = 411859353600. Its totient is φ = 22121164800.

The previous prime is 106273458391. The next prime is 106273458491. The reversal of 106273458480 is 84854372601.

It is a super-2 number, since 2×106273458480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 208788466 + ... + 208788974.

It is an arithmetic number, because the mean of its divisors is an integer number (643530240).

Almost surely, 2^106273458480 is an apocalyptic number.

106273458480 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 106273458480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205929676800).

106273458480 is an abundant number, since it is smaller than the sum of its proper divisors (305585895120).

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

106273458480 is a wasteful number, since it uses less digits than its factorization.

106273458480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 106273458480 in words is "one hundred six billion, two hundred seventy-three million, four hundred fifty-eight thousand, four hundred eighty".