100036950 has 144 divisors (see below), whose sum is σ = 281242416. Its totient is φ = 23385600.

The previous prime is 100036949. The next prime is 100036967. The reversal of 100036950 is 59630001.

It is a self number, because there is not a number n which added to its sum of digits gives 100036950.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1639920 + ... + 1639980.

Almost surely, 2^100036950 is an apocalyptic number.

100036950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100036950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140621208).

100036950 is an abundant number, since it is smaller than the sum of its proper divisors (181205466).

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

100036950 is a wasteful number, since it uses less digits than its factorization.

100036950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 100036950 is about 10001.8473293687. The cubic root of 100036950 is about 464.2160452239.

Adding to 100036950 its reverse (59630001), we get a palindrome (159666951).

It can be divided in two parts, 1000 and 36950, that added together give a triangular number (37950 = T₂₇₅).

The spelling of 100036950 in words is "one hundred million, thirty-six thousand, nine hundred fifty".