106342621635240 has 160 divisors (see below), whose sum is σ = 357528062263680. Its totient is φ = 28350202082688.

The previous prime is 106342621635221. The next prime is 106342621635259. The reversal of 106342621635240 is 42536126243601.

106342621635240 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 4 + 2 + 6 + 2 + 1 + 635 + 2 + 4 + 0 = 666.

106342621635240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (106342621635221) and next prime (106342621635259).

It is a super-2 number, since 2×106342621635240² (a number of 29 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 39 ways as a sum of consecutive naturals, for example, 7208877 + ... + 16268163.

It is an arithmetic number, because the mean of its divisors is an integer number (2234550389148).

Almost surely, 2^{106342621635240} is an apocalyptic number.

106342621635240 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 106342621635240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178764031131840).

106342621635240 is an abundant number, since it is smaller than the sum of its proper divisors (251185440628440).

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

106342621635240 is a wasteful number, since it uses less digits than its factorization.

106342621635240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9062933 (or 9062920 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

Adding to 106342621635240 its reverse (42536126243601), we get a palindrome (148878747878841).

The spelling of 106342621635240 in words is "one hundred six trillion, three hundred forty-two billion, six hundred twenty-one million, six hundred thirty-five thousand, two hundred forty".