106654129920 has 576 divisors, whose sum is σ = 409536167040. Its totient is φ = 26128023552.

The previous prime is 106654129889. The next prime is 106654129927. The reversal of 106654129920 is 29921456601.

106654129920 is a `hidden beast` number, since 1 + 0 + 66 + 541 + 29 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×106654129920² (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 not an unprimeable number, because it can be changed into a prime (106654129927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124450132 + ... + 124450988.

It is an arithmetic number, because the mean of its divisors is an integer number (711000290).

Almost surely, 2^106654129920 is an apocalyptic number.

106654129920 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 106654129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204768083520).

106654129920 is an abundant number, since it is smaller than the sum of its proper divisors (302882037120).

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

106654129920 is a wasteful number, since it uses less digits than its factorization.

106654129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 106654129920 in words is "one hundred six billion, six hundred fifty-four million, one hundred twenty-nine thousand, nine hundred twenty".