100361106 has 40 divisors (see below), whose sum is σ = 226246284. Its totient is φ = 33251040.

The previous prime is 100361101. The next prime is 100361113. The reversal of 100361106 is 601163001.

It can be written as a sum of positive squares in 2 ways, for example, as 80192025 + 20169081 = 8955^2 + 4491^2 .

It is a super-3 number, since 3×100361106³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100361101) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26236 + ... + 29816.

Almost surely, 2^100361106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100361106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113123142).

100361106 is an abundant number, since it is smaller than the sum of its proper divisors (125885178).

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

100361106 is a wasteful number, since it uses less digits than its factorization.

100361106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 100361106 is about 10018.0390296704. The cubic root of 100361106 is about 464.7169140643.

The spelling of 100361106 in words is "one hundred million, three hundred sixty-one thousand, one hundred six".