106545423960 has 384 divisors, whose sum is σ = 379638005760. Its totient is φ = 25798348800.

The previous prime is 106545423947. The next prime is 106545423983. The reversal of 106545423960 is 69324545601.

106545423960 is a `hidden beast` number, since 1 + 0 + 6 + 545 + 42 + 3 + 9 + 60 = 666.

It is a super-2 number, since 2×106545423960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81768669 + ... + 81769971.

It is an arithmetic number, because the mean of its divisors is an integer number (988640640).

Almost surely, 2^106545423960 is an apocalyptic number.

106545423960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106545423960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189819002880).

106545423960 is an abundant number, since it is smaller than the sum of its proper divisors (273092581800).

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

106545423960 is a wasteful number, since it uses less digits than its factorization.

106545423960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 106545423960 in words is "one hundred six billion, five hundred forty-five million, four hundred twenty-three thousand, nine hundred sixty".