101378800 has 30 divisors (see below), whose sum is σ = 243563528. Its totient is φ = 40551360.

The previous prime is 101378791. The next prime is 101378801. The reversal of 101378800 is 8873101.

It is a happy number.

It is a super-2 number, since 2×101378800² = 20555322178880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101378801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126324 + ... + 127123.

Almost surely, 2^101378800 is an apocalyptic number.

101378800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101378800 is an abundant number, since it is smaller than the sum of its proper divisors (142184728).

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

101378800 is a wasteful number, since it uses less digits than its factorization.

101378800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253465 (or 253454 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 101378800 is about 10068.7039881010. The cubic root of 101378800 is about 466.2824274801.

The spelling of 101378800 in words is "one hundred one million, three hundred seventy-eight thousand, eight hundred".