106035810 has 64 divisors (see below), whose sum is σ = 265282560. Its totient is φ = 27095040.

The previous prime is 106035793. The next prime is 106035833. The reversal of 106035810 is 18530601.

It is a super-2 number, since 2×106035810² = 22487186004712200, which contains 22 as substring.

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, 104586 + ... + 105594.

It is an arithmetic number, because the mean of its divisors is an integer number (4145040).

Almost surely, 2^106035810 is an apocalyptic number.

106035810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106035810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132641280).

106035810 is an abundant number, since it is smaller than the sum of its proper divisors (159246750).

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

106035810 is a wasteful number, since it uses less digits than its factorization.

106035810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 106035810 is about 10297.3690814693. The cubic root of 106035810 is about 473.3156372189.

The spelling of 106035810 in words is "one hundred six million, thirty-five thousand, eight hundred ten".