106213554720 has 1536 divisors, whose sum is σ = 506243727360. Its totient is φ = 20145438720.

The previous prime is 106213554709. The next prime is 106213554773. The reversal of 106213554720 is 27455312601.

106213554720 is a `hidden beast` number, since 1 + 0 + 62 + 1 + 35 + 547 + 20 = 666.

It is a super-2 number, since 2×106213554720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 153709575 + ... + 153710265.

It is an arithmetic number, because the mean of its divisors is an integer number (329585760).

Almost surely, 2^106213554720 is an apocalyptic number.

106213554720 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 106213554720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253121863680).

106213554720 is an abundant number, since it is smaller than the sum of its proper divisors (400030172640).

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

106213554720 is a wasteful number, since it uses less digits than its factorization.

106213554720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 106213554720 in words is "one hundred six billion, two hundred thirteen million, five hundred fifty-four thousand, seven hundred twenty".