106435248906 has 128 divisors (see below), whose sum is σ = 255686492160. Its totient is φ = 28896652800.

The previous prime is 106435248889. The next prime is 106435248919. The reversal of 106435248906 is 609842534601.

It is a super-2 number, since 2×106435248906² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89666845 + ... + 89668031.

It is an arithmetic number, because the mean of its divisors is an integer number (1997550720).

Almost surely, 2^106435248906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106435248906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127843246080).

106435248906 is an abundant number, since it is smaller than the sum of its proper divisors (149251243254).

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

106435248906 is a wasteful number, since it uses less digits than its factorization.

106435248906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420.

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 106435248906 in words is "one hundred six billion, four hundred thirty-five million, two hundred forty-eight thousand, nine hundred six".