101051800 has 48 divisors (see below), whose sum is σ = 236592000. Its totient is φ = 40137600.

The previous prime is 101051789. The next prime is 101051843. The reversal of 101051800 is 8150101.

It is a super-2 number, since 2×101051800² = 20422932566480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 28105 + ... + 31495.

It is an arithmetic number, because the mean of its divisors is an integer number (4929000).

Almost surely, 2^101051800 is an apocalyptic number.

101051800 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 101051800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118296000).

101051800 is an abundant number, since it is smaller than the sum of its proper divisors (135540200).

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

101051800 is a wasteful number, since it uses less digits than its factorization.

101051800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 16.

The square root of 101051800 is about 10052.4524370922. The cubic root of 101051800 is about 465.7805520555.

The spelling of 101051800 in words is "one hundred one million, fifty-one thousand, eight hundred".