106193742480 has 480 divisors, whose sum is σ = 419008681728. Its totient is φ = 23596646400.

The previous prime is 106193742437. The next prime is 106193742581. The reversal of 106193742480 is 84247391601.

106193742480 is a `hidden beast` number, since 1 + 0 + 61 + 93 + 7 + 424 + 80 = 666.

It is a super-2 number, since 2×106193742480² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71703340 + ... + 71704820.

Almost surely, 2^106193742480 is an apocalyptic number.

106193742480 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 106193742480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209504340864).

106193742480 is an abundant number, since it is smaller than the sum of its proper divisors (312814939248).

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

106193742480 is a wasteful number, since it uses less digits than its factorization.

106193742480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 106193742480 in words is "one hundred six billion, one hundred ninety-three million, seven hundred forty-two thousand, four hundred eighty".