106205213450 has 48 divisors (see below), whose sum is σ = 225855288384. Its totient is φ = 36398160000.

The previous prime is 106205213441. The next prime is 106205213461. The reversal of 106205213450 is 54312502601.

It is a super-2 number, since 2×106205213450² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

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, 801950 + ... + 924950.

It is an arithmetic number, because the mean of its divisors is an integer number (4705318508).

Almost surely, 2^106205213450 is an apocalyptic number.

106205213450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106205213450 is an abundant number, since it is smaller than the sum of its proper divisors (119650074934).

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

106205213450 is a wasteful number, since it uses less digits than its factorization.

106205213450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125487 (or 125482 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 106205213450 in words is "one hundred six billion, two hundred five million, two hundred thirteen thousand, four hundred fifty".