101395800 has 240 divisors, whose sum is σ = 384852600. Its totient is φ = 24537600.

The previous prime is 101395793. The next prime is 101395813. The reversal of 101395800 is 8593101.

It is a super-2 number, since 2×101395800² = 20562216515280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 177916 + ... + 178484.

Almost surely, 2^101395800 is an apocalyptic number.

101395800 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 101395800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192426300).

101395800 is an abundant number, since it is smaller than the sum of its proper divisors (283456800).

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

101395800 is a wasteful number, since it uses less digits than its factorization.

101395800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 101395800 is about 10069.5481527226. The cubic root of 101395800 is about 466.3084893334.

The spelling of 101395800 in words is "one hundred one million, three hundred ninety-five thousand, eight hundred".