106007054720 has 384 divisors, whose sum is σ = 312511802400. Its totient is φ = 34224046080.

The previous prime is 106007054701. The next prime is 106007054729. The reversal of 106007054720 is 27450700601.

It is a super-2 number, since 2×106007054720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106007054729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37285619 + ... + 37288461.

Almost surely, 2^106007054720 is an apocalyptic number.

106007054720 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 106007054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156255901200).

106007054720 is an abundant number, since it is smaller than the sum of its proper divisors (206504747680).

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

106007054720 is a wasteful number, since it uses less digits than its factorization.

106007054720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The spelling of 106007054720 in words is "one hundred six billion, seven million, fifty-four thousand, seven hundred twenty".