106654993920 has 240 divisors, whose sum is σ = 383059076400. Its totient is φ = 28441165824.

The previous prime is 106654993891. The next prime is 106654993933. The reversal of 106654993920 is 29399456601.

106654993920 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 549 + 9 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×106654993920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent 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, 536356 + ... + 707804.

It is an arithmetic number, because the mean of its divisors is an integer number (1596079485).

Almost surely, 2^106654993920 is an apocalyptic number.

106654993920 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 106654993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191529538200).

106654993920 is an abundant number, since it is smaller than the sum of its proper divisors (276404082480).

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

106654993920 is an frugal number, since it uses more digits than its factorization.

106654993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171487 (or 171459 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 106654993920 in words is "one hundred six billion, six hundred fifty-four million, nine hundred ninety-three thousand, nine hundred twenty".