101003700 has 108 divisors (see below), whose sum is σ = 339999072. Its totient is φ = 23083200.

The previous prime is 101003699. The next prime is 101003713. The reversal of 101003700 is 7300101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11265 + ... + 18135.

Almost surely, 2^101003700 is an apocalyptic number.

101003700 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 101003700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169999536).

101003700 is an abundant number, since it is smaller than the sum of its proper divisors (238995372).

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

101003700 is a wasteful number, since it uses less digits than its factorization.

101003700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6902 (or 6888 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 101003700 is about 10050.0597013152. The cubic root of 101003700 is about 465.7066374882.

Adding to 101003700 its reverse (7300101), we get a palindrome (108303801).

The spelling of 101003700 in words is "one hundred one million, three thousand, seven hundred".