106112781600 has 576 divisors, whose sum is σ = 416133365760. Its totient is φ = 22961664000.

The previous prime is 106112781547. The next prime is 106112781611. The reversal of 106112781600 is 6187211601.

It is a happy number.

It is a super-2 number, since 2×106112781600² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39025041 + ... + 39027759.

It is an arithmetic number, because the mean of its divisors is an integer number (722453760).

Almost surely, 2^106112781600 is an apocalyptic number.

106112781600 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 106112781600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208066682880).

106112781600 is an abundant number, since it is smaller than the sum of its proper divisors (310020584160).

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

106112781600 is a wasteful number, since it uses less digits than its factorization.

106112781600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The spelling of 106112781600 in words is "one hundred six billion, one hundred twelve million, seven hundred eighty-one thousand, six hundred".