106341662560 has 96 divisors (see below), whose sum is σ = 293799889152. Its totient is φ = 35612075520.

The previous prime is 106341662551. The next prime is 106341662597. The reversal of 106341662560 is 65266143601.

It is a super-2 number, since 2×106341662560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1055886 + ... + 1152205.

It is an arithmetic number, because the mean of its divisors is an integer number (3060415512).

Almost surely, 2^106341662560 is an apocalyptic number.

106341662560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106341662560 is an abundant number, since it is smaller than the sum of its proper divisors (187458226592).

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

106341662560 is a wasteful number, since it uses less digits than its factorization.

106341662560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208156 (or 2208148 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 106341662560 in words is "one hundred six billion, three hundred forty-one million, six hundred sixty-two thousand, five hundred sixty".