106004898720 has 576 divisors, whose sum is σ = 450376899840. Its totient is φ = 23175161856.

The previous prime is 106004898673. The next prime is 106004898721. The reversal of 106004898720 is 27898400601.

106004898720 is a `hidden beast` number, since 10 + 60 + 0 + 489 + 87 + 20 = 666.

It is a super-2 number, since 2×106004898720² (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 not an unprimeable number, because it can be changed into a prime (106004898721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4857754 + ... + 4879526.

It is an arithmetic number, because the mean of its divisors is an integer number (781904340).

Almost surely, 2^106004898720 is an apocalyptic number.

106004898720 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 106004898720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225188449920).

106004898720 is an abundant number, since it is smaller than the sum of its proper divisors (344372001120).

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

106004898720 is a wasteful number, since it uses less digits than its factorization.

106004898720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21834 (or 21813 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 106004898720 in words is "one hundred six billion, four million, eight hundred ninety-eight thousand, seven hundred twenty".