101781400 has 48 divisors (see below), whose sum is σ = 270451440. Its totient is φ = 34896000.

The previous prime is 101781391. The next prime is 101781403. The reversal of 101781400 is 4187101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101781403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 34951 + ... + 37750.

It is an arithmetic number, because the mean of its divisors is an integer number (5634405).

Almost surely, 2^101781400 is an apocalyptic number.

101781400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101781400 is an abundant number, since it is smaller than the sum of its proper divisors (168670040).

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

101781400 is a wasteful number, since it uses less digits than its factorization.

101781400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72724 (or 72715 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 22.

The square root of 101781400 is about 10088.6768210702. The cubic root of 101781400 is about 466.8988527126.

The spelling of 101781400 in words is "one hundred one million, seven hundred eighty-one thousand, four hundred".