101368100 has 18 divisors (see below), whose sum is σ = 219968994. Its totient is φ = 40547200.

The previous prime is 101368073. The next prime is 101368103. The reversal of 101368100 is 1863101.

It can be written as a sum of positive squares in 3 ways, for example, as 5053504 + 96314596 = 2248^2 + 9814^2 .

It is a super-2 number, since 2×101368100² = 20550983395220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (101368103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506741 + ... + 506940.

Almost surely, 2^101368100 is an apocalyptic number.

101368100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101368100 is an abundant number, since it is smaller than the sum of its proper divisors (118600894).

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

101368100 is a wasteful number, since it uses less digits than its factorization.

101368100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013695 (or 1013688 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 101368100 is about 10068.1726246623. The cubic root of 101368100 is about 466.2660223490.

The spelling of 101368100 in words is "one hundred one million, three hundred sixty-eight thousand, one hundred".