106748204040 has 192 divisors, whose sum is σ = 367763535360. Its totient is φ = 26760775680.

The previous prime is 106748204009. The next prime is 106748204071. The reversal of 106748204040 is 40402847601.

106748204040 is a `hidden beast` number, since 106 + 74 + 82 + 0 + 404 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106748204009) and next prime (106748204071).

It is a super-2 number, since 2×106748204040² (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 junction number, because it is equal to n+sod(n) for n = 106748203986 and 106748204004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5541225 + ... + 5560455.

It is an arithmetic number, because the mean of its divisors is an integer number (1915435080).

Almost surely, 2^106748204040 is an apocalyptic number.

106748204040 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 106748204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183881767680).

106748204040 is an abundant number, since it is smaller than the sum of its proper divisors (261015331320).

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

106748204040 is a wasteful number, since it uses less digits than its factorization.

106748204040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20172 (or 20165 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 106748204040 in words is "one hundred six billion, seven hundred forty-eight million, two hundred four thousand, forty".