106728527610 has 64 divisors (see below), whose sum is σ = 285189413760. Its totient is φ = 28402940160.

The previous prime is 106728527593. The next prime is 106728527627. The reversal of 106728527610 is 16725827601.

106728527610 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 2 + 8 + 5 + 27 + 610 = 666.

It is an interprime number because it is at equal distance from previous prime (106728527593) and next prime (106728527627).

It is a super-2 number, since 2×106728527610² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269967 + ... + 535106.

It is an arithmetic number, because the mean of its divisors is an integer number (4456084590).

Almost surely, 2^106728527610 is an apocalyptic number.

106728527610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106728527610 is an abundant number, since it is smaller than the sum of its proper divisors (178460886150).

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

106728527610 is a wasteful number, since it uses less digits than its factorization.

106728527610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805580 (or 805574 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 106728527610 in words is "one hundred six billion, seven hundred twenty-eight million, five hundred twenty-seven thousand, six hundred ten".