106550353440 has 144 divisors (see below), whose sum is σ = 363768933528. Its totient is φ = 28400467968.

The previous prime is 106550353381. The next prime is 106550353463. The reversal of 106550353440 is 44353055601.

106550353440 is a `hidden beast` number, since 1 + 0 + 6 + 550 + 35 + 34 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97921429776 + 8628923664 = 312924^2 + 92892^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106550353440² (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 = 106550353395 and 106550353404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3378384 + ... + 3409776.

Almost surely, 2^106550353440 is an apocalyptic number.

106550353440 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 106550353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181884466764).

106550353440 is an abundant number, since it is smaller than the sum of its proper divisors (257218580088).

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

106550353440 is a wasteful number, since it uses less digits than its factorization.

106550353440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33771 (or 33760 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 106550353440 in words is "one hundred six billion, five hundred fifty million, three hundred fifty-three thousand, four hundred forty".