106008913920 has 576 divisors, whose sum is σ = 419847442560. Its totient is φ = 22359048192.

The previous prime is 106008913909. The next prime is 106008913921. The reversal of 106008913920 is 29319800601.

106008913920 = T₃₅₃₃₅ + T₃₅₃₃₆ + ... + T₃₅₅₀₃.

It is a super-2 number, since 2×106008913920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (106008913921) 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, 36340302 + ... + 36343218.

It is an arithmetic number, because the mean of its divisors is an integer number (728901810).

Almost surely, 2^106008913920 is an apocalyptic number.

106008913920 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 106008913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209923721280).

106008913920 is an abundant number, since it is smaller than the sum of its proper divisors (313838528640).

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

106008913920 is a wasteful number, since it uses less digits than its factorization.

106008913920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 106008913920 in words is "one hundred six billion, eight million, nine hundred thirteen thousand, nine hundred twenty".