106335240100 has 36 divisors (see below), whose sum is σ = 230794517268. Its totient is φ = 42525424000.

The previous prime is 106335240083. The next prime is 106335240103. The reversal of 106335240100 is 1042533601.

It can be written as a sum of positive squares in 6 ways, for example, as 27941796 + 106307298304 = 5286^2 + 326048^2 .

It is a super-2 number, since 2×106335240100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (106335240103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396210 + ... + 607990.

It is an arithmetic number, because the mean of its divisors is an integer number (6410958813).

Almost surely, 2^106335240100 is an apocalyptic number.

106335240100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106335240100 is an abundant number, since it is smaller than the sum of its proper divisors (124459277168).

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

106335240100 is a wasteful number, since it uses less digits than its factorization.

106335240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216816 (or 216809 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 106335240100 its reverse (1042533601), we get a palindrome (107377773701).

The spelling of 106335240100 in words is "one hundred six billion, three hundred thirty-five million, two hundred forty thousand, one hundred".