106004459800 has 192 divisors, whose sum is σ = 262865988000. Its totient is φ = 39678750720.

The previous prime is 106004459761. The next prime is 106004459801. The reversal of 106004459800 is 8954400601.

It is a happy number.

It is a super-2 number, since 2×106004459800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 106004459800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106004459801) 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, 65881396 + ... + 65883004.

Almost surely, 2^106004459800 is an apocalyptic number.

106004459800 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 106004459800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131432994000).

106004459800 is an abundant number, since it is smaller than the sum of its proper divisors (156861528200).

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

106004459800 is a wasteful number, since it uses less digits than its factorization.

106004459800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 106004459800 in words is "one hundred six billion, four million, four hundred fifty-nine thousand, eight hundred".