106603997760 has 336 divisors, whose sum is σ = 396951884784. Its totient is φ = 26103250944.

The previous prime is 106603997657. The next prime is 106603997761. The reversal of 106603997760 is 67799306601.

It can be written as a sum of positive squares in 8 ways, for example, as 16647192576 + 89956805184 = 129024^2 + 299928^2 .

It is a super-2 number, since 2×106603997760² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106603997697 and 106603997706.

It is not an unprimeable number, because it can be changed into a prime (106603997761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7218544 + ... + 7233296.

It is an arithmetic number, because the mean of its divisors is an integer number (1181404419).

Almost surely, 2^106603997760 is an apocalyptic number.

106603997760 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 106603997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198475942392).

106603997760 is an abundant number, since it is smaller than the sum of its proper divisors (290347887024).

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

106603997760 is a wasteful number, since it uses less digits than its factorization.

106603997760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14982 (or 14969 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 106603997760 in words is "one hundred six billion, six hundred three million, nine hundred ninety-seven thousand, seven hundred sixty".