106347819600 has 270 divisors, whose sum is σ = 405658778798. Its totient is φ = 25781184000.

The previous prime is 106347819517. The next prime is 106347819607. The reversal of 106347819600 is 6918743601.

It is a happy number.

106347819600 is a `hidden beast` number, since 1 + 0 + 6 + 34 + 7 + 8 + 1 + 9 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5901926976 + 100445892624 = 76824^2 + 316932^2 .

It is a super-2 number, since 2×106347819600² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106347819607) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 313530 + ... + 557670.

Almost surely, 2^106347819600 is an apocalyptic number.

106347819600 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 106347819600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202829389399).

106347819600 is an abundant number, since it is smaller than the sum of its proper divisors (299310959198).

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

106347819600 is a wasteful number, since it uses less digits than its factorization.

106347819600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244187 (or 244162 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 106347819600 in words is "one hundred six billion, three hundred forty-seven million, eight hundred nineteen thousand, six hundred".