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100323104 = 2572271973
BaseRepresentation
bin1011111101011…
…00111100100000
320222202221102112
411332230330200
5201140314404
613542134452
72325506120
oct576547440
9228687375
10100323104
11516a2262
1229721428
1317a278ab
14d476c80
158c1a56e
hex5facf20

100323104 has 48 divisors (see below), whose sum is σ = 226836288. Its totient is φ = 42784512.

The previous prime is 100323089. The next prime is 100323107. The reversal of 100323104 is 401323001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100323107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49862 + ... + 51834.

It is an arithmetic number, because the mean of its divisors is an integer number (4725756).

Almost surely, 2100323104 is an apocalyptic number.

100323104 is a gapful number since it is divisible by the number (14) 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 100323104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113418144).

100323104 is an abundant number, since it is smaller than the sum of its proper divisors (126513184).

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

100323104 is a wasteful number, since it uses less digits than its factorization.

100323104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 100323104 is about 10016.1421715149. The cubic root of 100323104 is about 464.6582512271.

Adding to 100323104 its reverse (401323001), we get a palindrome (501646105).

The spelling of 100323104 in words is "one hundred million, three hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 227 454 908 1589 1816 1973 3178 3632 3946 6356 7264 7892 12712 13811 15784 25424 27622 31568 50848 55244 63136 110488 220976 441952 447871 895742 1791484 3135097 3582968 6270194 7165936 12540388 14331872 25080776 50161552 100323104