106748098560 has 960 divisors, whose sum is σ = 406559593440. Its totient is φ = 26754416640.

The previous prime is 106748098547. The next prime is 106748098577. The reversal of 106748098560 is 65890847601.

106748098560 is a `hidden beast` number, since 1 + 0 + 6 + 74 + 8 + 0 + 9 + 8 + 560 = 666.

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

It is a super-2 number, since 2×106748098560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 106748098497 and 106748098506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1462302684 + ... + 1462302756.

Almost surely, 2^106748098560 is an apocalyptic number.

106748098560 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 106748098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203279796720).

106748098560 is an abundant number, since it is smaller than the sum of its proper divisors (299811494880).

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

106748098560 is an equidigital number, since it uses as much as digits as its factorization.

106748098560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 106748098560 in words is "one hundred six billion, seven hundred forty-eight million, ninety-eight thousand, five hundred sixty".