106404242250 has 64 divisors (see below), whose sum is σ = 265763586816. Its totient is φ = 28355384000.

The previous prime is 106404242227. The next prime is 106404242293. The reversal of 106404242250 is 52242404601.

It is a super-2 number, since 2×106404242250² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1086304 + ... + 1180196.

It is an arithmetic number, because the mean of its divisors is an integer number (4152556044).

Almost surely, 2^106404242250 is an apocalyptic number.

106404242250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106404242250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132881793408).

106404242250 is an abundant number, since it is smaller than the sum of its proper divisors (159359344566).

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

106404242250 is a wasteful number, since it uses less digits than its factorization.

106404242250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95424 (or 95414 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 106404242250 its reverse (52242404601), we get a palindrome (158646646851).

The spelling of 106404242250 in words is "one hundred six billion, four hundred four million, two hundred forty-two thousand, two hundred fifty".