103406100 has 144 divisors (see below), whose sum is σ = 350560896. Its totient is φ = 23040000.

The previous prime is 103406089. The next prime is 103406101. The reversal of 103406100 is 1604301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103406100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103406101) 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, 85500 + ... + 86700.

Almost surely, 2^103406100 is an apocalyptic number.

103406100 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 103406100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175280448).

103406100 is an abundant number, since it is smaller than the sum of its proper divisors (247154796).

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

103406100 is a wasteful number, since it uses less digits than its factorization.

103406100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 103406100 is about 10168.8789942648. The cubic root of 103406100 is about 469.3700629740.

The spelling of 103406100 in words is "one hundred three million, four hundred six thousand, one hundred".