106400104350 has 48 divisors (see below), whose sum is σ = 263950842672. Its totient is φ = 28364911360.

The previous prime is 106400104331. The next prime is 106400104351. The reversal of 106400104350 is 53401004601.

It is a super-2 number, since 2×106400104350² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106400104350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106400104351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408034 + ... + 615866.

It is an arithmetic number, because the mean of its divisors is an integer number (5498975889).

Almost surely, 2^106400104350 is an apocalyptic number.

106400104350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106400104350 is an abundant number, since it is smaller than the sum of its proper divisors (157550738322).

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

106400104350 is a wasteful number, since it uses less digits than its factorization.

106400104350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211261 (or 211256 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 106400104350 its reverse (53401004601), we get a palindrome (159801108951).

The spelling of 106400104350 in words is "one hundred six billion, four hundred million, one hundred four thousand, three hundred fifty".