101050000 has 120 divisors (see below), whose sum is σ = 255733632. Its totient is φ = 38640000.

The previous prime is 101049983. The next prime is 101050039. The reversal of 101050000 is 50101.

It is a super-2 number, since 2×101050000² = 20422205000000000, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2149977 + ... + 2150023.

Almost surely, 2^101050000 is an apocalyptic number.

101050000 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 101050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127866816).

101050000 is an abundant number, since it is smaller than the sum of its proper divisors (154683632).

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

101050000 is an frugal number, since it uses more digits than its factorization.

101050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 101050000 is about 10052.3629063022. The cubic root of 101050000 is about 465.7777864443. Note that the first 4 decimals are identical.

The spelling of 101050000 in words is "one hundred one million, fifty thousand".