106107147300 has 576 divisors, whose sum is σ = 426632693760. Its totient is φ = 19657728000.

The previous prime is 106107147277. The next prime is 106107147331. The reversal of 106107147300 is 3741701601.

It is a super-2 number, since 2×106107147300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7454190 + ... + 7468410.

It is an arithmetic number, because the mean of its divisors is an integer number (740681760).

Almost surely, 2^106107147300 is an apocalyptic number.

106107147300 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 106107147300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213316346880).

106107147300 is an abundant number, since it is smaller than the sum of its proper divisors (320525546460).

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

106107147300 is a wasteful number, since it uses less digits than its factorization.

106107147300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14292 (or 14285 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

Adding to 106107147300 its reverse (3741701601), we get a palindrome (109848848901).

The spelling of 106107147300 in words is "one hundred six billion, one hundred seven million, one hundred forty-seven thousand, three hundred".