101990500 has 72 divisors (see below), whose sum is σ = 230466600. Its totient is φ = 39427200.

The previous prime is 101990489. The next prime is 101990513. The reversal of 101990500 is 5099101.

It can be written as a sum of positive squares in 12 ways, for example, as 48525156 + 53465344 = 6966^2 + 7312^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684426 + ... + 684574.

It is an arithmetic number, because the mean of its divisors is an integer number (3200925).

Almost surely, 2^101990500 is an apocalyptic number.

101990500 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 101990500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115233300).

101990500 is an abundant number, since it is smaller than the sum of its proper divisors (128476100).

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

101990500 is a wasteful number, since it uses less digits than its factorization.

101990500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 25.

The square root of 101990500 is about 10099.0346073276. The cubic root of 101990500 is about 467.2183667894.

It can be divided in two parts, 1019 and 90500, that added together give a palindrome (91519).

The spelling of 101990500 in words is "one hundred one million, nine hundred ninety thousand, five hundred".