100284741 has 24 divisors (see below), whose sum is σ = 146824704. Its totient is φ = 65955840.

The previous prime is 100284637. The next prime is 100284757. The reversal of 100284741 is 147482001.

It is not a de Polignac number, because 100284741 - 2¹⁵ = 100251973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100284781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390085 + ... + 390341.

It is an arithmetic number, because the mean of its divisors is an integer number (6117696).

Almost surely, 2^100284741 is an apocalyptic number.

It is an amenable number.

100284741 is a deficient number, since it is larger than the sum of its proper divisors (46539963).

100284741 is a wasteful number, since it uses less digits than its factorization.

100284741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 100284741 is about 10014.2269297235. The cubic root of 100284741 is about 464.5990160945.

It can be divided in two parts, 100284 and 741, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 100284741 in words is "one hundred million, two hundred eighty-four thousand, seven hundred forty-one".