106048898400 has 288 divisors, whose sum is σ = 349533128448. Its totient is φ = 27925657600.

The previous prime is 106048898399. The next prime is 106048898419. The reversal of 106048898400 is 4898840601.

It is a super-2 number, since 2×106048898400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 106048898400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129169990 + ... + 129170810.

It is an arithmetic number, because the mean of its divisors is an integer number (1213656696).

Almost surely, 2^106048898400 is an apocalyptic number.

106048898400 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 106048898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174766564224).

106048898400 is an abundant number, since it is smaller than the sum of its proper divisors (243484230048).

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

106048898400 is a wasteful number, since it uses less digits than its factorization.

106048898400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 106048898400 in words is "one hundred six billion, forty-eight million, eight hundred ninety-eight thousand, four hundred".