106213362435 has 24 divisors (see below), whose sum is σ = 184140004464. Its totient is φ = 56635790400.

The previous prime is 106213362427. The next prime is 106213362461. The reversal of 106213362435 is 534263312601.

106213362435 is a `hidden beast` number, since 1 + 0 + 6 + 21 + 3 + 3 + 624 + 3 + 5 = 666.

It is not a de Polignac number, because 106213362435 - 2³ = 106213362427 is a prime.

It is a super-2 number, since 2×106213362435² (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 106213362435.

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 23 ways as a sum of consecutive naturals, for example, 6352 + ... + 460941.

It is an arithmetic number, because the mean of its divisors is an integer number (7672500186).

Almost surely, 2^106213362435 is an apocalyptic number.

106213362435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106213362435 is a deficient number, since it is larger than the sum of its proper divisors (77926642029).

106213362435 is a wasteful number, since it uses less digits than its factorization.

106213362435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472355 (or 472352 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 106213362435 in words is "one hundred six billion, two hundred thirteen million, three hundred sixty-two thousand, four hundred thirty-five".