106405137072 has 240 divisors, whose sum is σ = 325074798048. Its totient is φ = 32295075840.

The previous prime is 106405137071. The next prime is 106405137073. The reversal of 106405137072 is 270731504601.

It is a happy number.

106405137072 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 0 + 513 + 70 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (106405137071) and next prime (106405137073).

It is a super-2 number, since 2×106405137072² (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 (106405137071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67730047 + ... + 67731617.

Almost surely, 2^106405137072 is an apocalyptic number.

106405137072 is a gapful number since it is divisible by the number (12) 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 106405137072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162537399024).

106405137072 is an abundant number, since it is smaller than the sum of its proper divisors (218669660976).

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

106405137072 is a wasteful number, since it uses less digits than its factorization.

106405137072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 106405137072 in words is "one hundred six billion, four hundred five million, one hundred thirty-seven thousand, seventy-two".