106280102400 has 960 divisors, whose sum is σ = 394885201920. Its totient is φ = 25082265600.

The previous prime is 106280102389. The next prime is 106280102407. The reversal of 106280102400 is 4201082601.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×106280102400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (106280102407) 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, 836851137 + ... + 836851263.

It is an arithmetic number, because the mean of its divisors is an integer number (411338752).

Almost surely, 2^106280102400 is an apocalyptic number.

106280102400 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 106280102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197442600960).

106280102400 is an abundant number, since it is smaller than the sum of its proper divisors (288605099520).

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

106280102400 is a wasteful number, since it uses less digits than its factorization.

106280102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 106280102400 in words is "one hundred six billion, two hundred eighty million, one hundred two thousand, four hundred".