101364500 has 24 divisors (see below), whose sum is σ = 221381160. Its totient is φ = 40545600.

The previous prime is 101364481. The next prime is 101364511. The reversal of 101364500 is 5463101.

It can be written as a sum of positive squares in 4 ways, for example, as 643204 + 100721296 = 802^2 + 10036^2 .

It is a super-3 number, since 3×101364500³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 100865 + ... + 101864.

It is an arithmetic number, because the mean of its divisors is an integer number (9224215).

Almost surely, 2^101364500 is an apocalyptic number.

101364500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101364500 is an abundant number, since it is smaller than the sum of its proper divisors (120016660).

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

101364500 is a wasteful number, since it uses less digits than its factorization.

101364500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202748 (or 202736 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 101364500 is about 10067.9938418734. The cubic root of 101364500 is about 466.2605026061.

The spelling of 101364500 in words is "one hundred one million, three hundred sixty-four thousand, five hundred".