101103100 has 72 divisors (see below), whose sum is σ = 253490720. Its totient is φ = 34283520.

The previous prime is 101103091. The next prime is 101103109. The reversal of 101103100 is 1301101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101103091) and next prime (101103109).

It is a super-2 number, since 2×101103100² = 20443673659220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101103109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67156 + ... + 68644.

Almost surely, 2^101103100 is an apocalyptic number.

101103100 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 101103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126745360).

101103100 is an abundant number, since it is smaller than the sum of its proper divisors (152387620).

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

101103100 is a wasteful number, since it uses less digits than its factorization.

101103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 101103100 is about 10055.0037294871. The cubic root of 101103100 is about 465.8593581729.

Adding to 101103100 its reverse (1301101), we get a palindrome (102404201).

The spelling of 101103100 in words is "one hundred one million, one hundred three thousand, one hundred".